Combinatorial elements

The magic of money in numerology

Each number has its own energy and affects a person's life in a certain way.. Numerology of money helps determine the meaning of a number, find out the personal code of money and wealth. Fiscal code is calculated using date of birth. Then you need to see the transcript. You also need to know, how to use your wealth code correctly.

The main thing is to correctly calculate the financial code

Besides, what is the number of wealth, there are also numbers, not bringing abundance to a person's life. They need to be avoided. To attract financial flow, need to familiarize yourself with, what does each number stand for:

1. Zero and one. Numerologists believe, that these numbers and codes are negative for monetary energy, they won't bring good luck. Therefore, you should avoid savings., deposits with amounts, in which these numbers are present, because they will slow down cash flow and will not bring prosperity and success.
2. Couple. This is an unhappy figure. She will not bring prosperity and success. It is not recommended to use banknotes of this denomination for savings, don't carry them in your wallet.
3. Threesome. Is financially favorable, with its help a person can win the lottery, find additional sources of income. But numerologists do not recommend accumulating funds., the sum of which is 300, 3000, 30000. This figure needs constant movement, she needs energy, not peace. The best thing is to buy a lottery ticket for such an amount or invest it in your own business..
4. The four in the personal code is a symbol of stability, reliability. Ideal for savings, savings, investment is the amount of bills 400, 4000, 40000. In this way, wealth will increase.
5. Five is a very important numerical code of wealth in numerology. Bills with this number are real money magnets.. They can be loaned, spend on travel, accumulate, spend so, as you like.
6. Such a financial code may involve certain financial constraints.. With this figure, people learn to save, control your spending. Amounts 600, 6000 are a symbol of stability and certainty. Numerologists do not recommend investing such amounts.
7. Seven is code, bad luck, it cannot be used for storage, investments, savings, loans and any other financial transactions, which are associated with risk.
8. Eight is a strong wealth code in numerology, he is considered very successful. Deposits for amounts 800, 8000, 80000 are very successful, they attract money, like a magnet.
9. Nine is a symbol of spirituality and inner development. Raising money with it will not happen, but there will be no loss either. It is recommended to spend sums with a nine on self-study, training

To use numbers correctly, need to know, how to calculate wealth code. Next, you need to find out the rules for using such a combination.. Will i get rich, depends not only on the code obtained as a result of the calculation, but also from that, how correctly to use it.

reference Information

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Combinations without repetitions

A task: Find all possible combinations without repetitions from many elements {1,2,3} by 2.
The following combinations exist:1: 1 22: 1 33: 2 3
The number of possible combinations without repetitions of N elements by M can be determined by the formula (N≥M):

that in M! times less than the corresponding number of placements without repetitions (since combinations without repetitions do not depend on the order of the elements).
Consider the problem of obtaining all combinations for numbers 1 ... N by M. Implementation in C ++

12345678910111213141516171819202122232425262728293031323334353637383940414243

#include <iostream>using namespace std;bool NextSet(int *a, int n, int m){ int k = m; for (int i = k – 1; i >= 0; –i) if (a < n – k + i + 1) { ++a; for (int j = i + 1; j < k; ++j) a = a + 1; return true; } return false;}void Print(int *a, int n) { static int num = 1; cout.width(3); cout << num++ << “: “; for (int i = 0; i < n; i++) cout << a << ” “; cout << endl;}int main() { int n, m, *a; cout << “N = “; cin >> n; cout << “M = “; cin >> m; a = new int; for (int i = 0; i < n; i++) a = i + 1; Print(a, m); if (n >= m) { while (NextSet(a, n, m)) Print(a, m); } cin.get(); cin.get(); return 0;}

Результат выполнения

English numerology: concept and essence

The oldest knowledge, which help explain, interpret that, what angels want to tell man, called angelic numerology.

Recall, that numerology studies the vibrations of numbers, digits, their influence on people and their life processes. Another English mathematician, astrologer John Dee in the 16th century wrote a work on numbers, which he considered the universal angelic language for communicating with people.

The founder of the relatively young teaching of Angelic Numerology is Doreen Verce. Clairvoyant from America, psychologist and philosopher, author of many books. She dedicated her works to the Supreme Beings, including Gods, angels, saints. For many years she has been researching unexplained phenomena.. But it was worth it. She created the instrument, who can help you interpret the messages of your helpers from heaven. According to Doreen Verce, we regularly receive signs from angels, which warn of dangers, suggest solutions to problems in a person's life.

Angels talk to man by numbers, letters, signs. Doreen Verce's works talk about clues from invisible keepers, which are encoded in repeating digits or combinations thereof. Namely:

• on car license plates;
• on the clock;
• in the brownie, apartment, office numbering;
• in dates of birth;
• in ticket forms, like in transport, and public facilities, etc..

In all such combinations, figures hide data, who can make adjustments to the future of people. Doreen Verce has done a lot of research on the topic, dedicated to numerological calculations by date of birth. Such calculations help to identify children., who have unique abilities from birth, and not only.

Number matches, combinations we often do not notice

But it's worth paying attention to, because such a phenomenon can be an important warning. After all, angels do not send us such a sign for nothing

Combinations with repetitions

Combinations with repetitions are sets of M elements, in which each element of the set N can participate several times. In this case, no restrictions are imposed on the ratio of the values ​​of M and N, and the total number of combinations with repetitions is

An example of such a problem is the choice of M postcards from N in all possible ways.

To generate combinations with repetitions, we will use the solution for generating placements with repetitions., considered. C ++ implementation

1234567891011121314151617181920212223242526272829303132333435363738394041

#include <iostream>using namespace std;bool NextSet(int *a, int n, int m){ int j = m – 1; while (a == n && j >= 0) j–; if (j < 0) return false; if (a >= n) j–; a++; if (j == m – 1) return true; for (int k = j + 1; k < m; k++) a = a; return true;}void Print(int *a, int n) { static int num = 1; cout.width(3); cout << num++ << “: “; for (int i = 0; i < n; i++) cout << a << ” “; cout << endl;}int main() { int n, m, *a; cout << “N = “; cin >> n; cout << “M = “; cin >> m; int h = n > m ? n : m; // размер массива а выбирается как max(n,m) a = new int; for (int i = 0; i < h; i++) a = 1; Print(a, m); while (NextSet(a, n, m)) Print(a, m); cin.get(); cin.get(); return 0;}

The result of the above algorithm:

Algorithmization

Basic formula of combinatorics

Let there be k groups of elements, and the i-th group consists of n_i elements.
Select one element from each group. Then the total number N of ways,
with which such a choice can be made, is defined by the relation N = n₁*n₂*n₃*…*n_k.

Example 1. Let us explain this rule in a simple
example. Let there are two groups of elements, and the first group consists of
n₁ elements, and the second – of n₂ elements. how many
different pairs of elements can be composed of these two groups, in this way,
to pair with one element from each group? Let's admit, We took
the first element from the first group and, without changing it, went over all possible
couples, changing only elements from the second group. Such pairs for this element
can be n₂. Then we take the second item from the first group
and also compose all possible pairs for it. There will also be n such pairs₂.
Since the first group contains only n₁ element, all possible
options will be n₁*n₂.Example 2. how many
three-digit even numbers can be composed of digits 0, 1, 2, 3, 4, 5, 6, if
numbers can be repeated?Decision: n₁=6
(because. as the first digit, you can take any digit from 1, 2, 3, 4, 5, 6), n₂=7
(because. as the second digit, you can take any digit from 0, 1, 2, 3, 4, 5,
6), n₃=4 (because. as the third digit, you can take any digit from 0, 2, 4,
6).

so, N=n₁*n₂*n₃=6*7*4=168.

In that case, when all groups have the same number of elements, ie. n₁=n₂=…n_k=n
it could be considered, that every choice is made from the same group, moreover
the element after selection returns to the group again. Then the number of all ways
choice is nk. This type of selection in combinatorics is called selection with return.

Example 3. How many are all four-digit numbers
can be made up of numbers 1, 5, 6, 7, 8?Decision. For every rank
a four-digit number there are five possibilities, means N = 5 * 5 * 5 * 5 = 54 = 625.

Consider the set, consisting of n elements. it
a set in combinatorics is called general
aggregate.

Business and finance

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What to do with the mantric code after completing the ritual

After, how numeric values ​​were read during 77 days, they should be charged with 4 elements for further work.

To do this, you need to perform simple manipulations.:

1. Activate the code with the energy of the Earth. A small pot of soil is suitable for the ritual.. You will also need any flower seeds. These should be exactly the seeds., not the shoots and tubers of plants. After preparing the required attributes, the mantra should be written on a piece of blank paper and buried in the ground, saying the words three times - “The earth is full of riches, you are now my dream ”. Next, a flower seed is placed in the pot.
2. After the element of Earth, the mantra is charged with the energy of Water. This ritual consists of watering the seed, which is accompanied by the words “Water and earth, revive the seeds ”. As in the previous case, make a statement 3 times.
3. Next comes the turn of the elements of Air. The pot with the future plant should be brought to an open window and said: "You, Air, I need, like light, and give my dream Dawn ". It must be repeated within 3 days.
4. When a seed sprout appears, it's time for the elements of Fire. A new lit candle is required to awaken the mantra. It must be placed next to the plant and, concentrating, say three times: "It's burning, Fire, candle - burn out, and destroy poverty. Let the sprout grow, what does the money slip hiding. And I will flourish with him, attract wealth in money ".

After these steps, the currency code starts working. It is advisable not to throw away the pot with the sprout and the mantra, continuing the usual care of the plant.

Besides, to enhance the effect of the mantric code, you can apply the image of numbers on a sheet of cardboard using green and red ink. Such a money talisman must be constantly carried with you..

The magic of familiar things

Our random random number generator online.

Our randomizer generator does not require downloading it to your personal PC. Everything happens in online number generator mode. Just specify these parameters, as: range of numbers online, in which numbers will be randomly selected. Also indicate the number of numbers, which will be chosen.
For example, у Вас есть группа Вконтакте. В группе вы разыгрываете 5 prizes, among the participants, who will repost the record. Using a dedicated app, we got a list of participants. Each has been assigned a sequential number for numbers online.

Now go to our online generator and specify the range of numbers (number of participants). for example, ask, what numbers online need 5, since we have 5 prizes. Теперь жмем кнопку генерации. Then we get 5 random numbers online, ranging from 1 to 112 inclusive. Generated 5 numbers online will correspond to the serial number of five participants, who became the winners of the drawing. Everything is simple and convenient.

Another plus of the random number generator is, that all numbers online are given randomly. That is, to influence him, or calculate, what number will be next, does not seem possible. What the generator does can be said, honest and reliable, and the administration, which gives away prizes using our free generator, honest and decent in the face of the participants of the competition. And if you are in doubt about a solution, then you can use our yes or no answer generator.

How to calculate your wealth code

There are good and bad combinations

Numerology and money are closely related. There are number combinations, wealth-generating, but there are unsuccessful combinations. If you apply them correctly, success and luck will be on your side. Calculating the code is easy. To do this, you need to perform the following calculations:

• write your number on a blank piece of paper, month and year of birth (eg, 31.10.1987);
• to calculate the success value, the first two digits should be added, i.e, specific date of birth (eg, 31 – 3+1=4). This number will be the first in the combination;
• to calculate the second character of the combination, it is necessary to calculate the value of the month (eg, October, 10 month - 1 + 0 = 1);
• now you need to calculate the amount of the year of birth (eg, 1987 – 1+9+8+7=25, 2+5=7);
• at the end, you need to personally calculate the last character of the combination, for this, all three previous received numbers are summed up (eg, 4+1+7=12, 1+2=3, in this case, the money combination is 4173). The resulting combination is a personal code for a person..

In addition to the personal code, there are universal values, that everyone can apply, like a millionaire, and with middle income. This is a digital mascot, which is depicted in the form of four eights of equal size. This combination is very strong, means monetary success and stability.

You can also calculate then, will i be rich, by name. For this, a table of correspondence between letters and numbers is taken. For example, Marina, which was born 5 numbers. In this case, only the birthday is taken:

M-5, A-1, R-9, I-1, N-6, A-1. 5+1+9+1+6+1=23, 2+3=5. Next, add the date of birth - 5 + 5 = 10, 1+0= 1 - one and is the code of luck and money for a specific person. But can he be successful, depends on, how well it is used.

Permutations of n elements

Definition 3. Permutation
of n elements
any ordered set is called
these elements.

Example 7a. All kinds of permutations
multitudes, consisting of three elements {1, 2, 3} are: (1, 2, 3), (1, 3,
2), (2, 3, 1), (2, 1, 3), (3, 2, 1), (3, 1, 2).

The number of distinct permutations of n elements is denoted by P_n and
is calculated by the formula P_n=n!.

Example 8. In How Many Ways Seven Books
different authors can be arranged in one row on the shelf?Decision:this problem about the number
rearranging seven different books. There is P₇=7!=1*2*3*4*5*6*7=5040
ways to arrange books.

Discussion. We see,
that the number of possible combinations can be calculated according to different rules
(permutations, combinations, placement) and the result will be different,
because. the principle of counting and the formulas themselves are different. Looking closely at
definitions, can be seen, that the result depends on several factors
at the same time.
At first, from that, from how many elements can we combine them
sets (how big is the total population of elements).
Secondly, the result depends on, how large are the sets of elements to us
need

And the last, it's important to know, is for us
essential order of items in a set. Let us explain the last factor on
following example

Example 9. At the parent meeting
present 20 man. How many different composition options are there
parent committee, if it should enter 5 man?Decision: In this example, we
not interested in the order of names in the committee list. If, as a result, in his
the composition will be the same people, then the meaning for us is the same
option. Therefore, we can use the formula to calculate the number of combinations from 20 elements by 5.
Things will be different, if each committee member is initially responsible for
definite direction of work. Then with the same payroll
committee, inside it is possible 5! permutation options, which matter. number
different (and composition, and by area of ​​responsibility) options defined in
in this case, the number of placements
of 20 elements by 5.

Self-test tasks
1. How many three-digit even numbers can be made from digits 0, 1, 2, 3, 4, 5,
6, if numbers can be repeated?
Since. an even number in third place can be 0, 2, 4, 6, ie. four digits. Any of the seven digits can be in second place. Any of seven digits other than zero can be in the first place, ie. 6 opportunities. Result = 4 * 7 * 6 = 168.
2. How many five-digit numbers are there, which read the same on the left
right and right to left?
Any number can be in the first place except 0, ie. 9 opportunities. Any number can be in second place, ie. 10 opportunities. Any number from, ie. 10 opportunities. The fourth and fifth digits are predefined, they match the first and second, hence, the number of such numbers is 9 * 10 * 10 = 900.
3. There are ten subjects and five lessons per day in the class. In many ways you can
make a schedule for one day?
4. How many ways you can choose 4 delegate to the conference, if in a group
20 man?

n = C₂₀4 = (20!)/(4!*(20-4)!)=(16!*17*18*19*20)/((1*2*3*4)*(16!))=(17*18*19*20)/(1*2*3*4)=4845.

5. How many ways can eight different letters be decomposed into eight
various envelopes, if only one letter is put in each envelope?
You can put in the first envelope 1 of eight letters, in the second one of the seven remaining, in the third one of six etc.. n = 8! = 1*2*3*4*5*6*7*8 = 40320.
6. Three mathematicians and ten economists must be composed of a commission,
consisting of two mathematicians and six economists. How many ways is it
can be done?

Number of ways to choose math C₃2=3!/(2!*(3-2))!=3/2, number of ways to choose economist C₁₀6=10!/(6!*(10-6))!=7*8*9*10/(1*2*3*4)=210. n = C₃2*FROM₁₀6=3*210=630.