# Permutations - examples

- Digit sum

How many are three-digit numbers that have a digit sum of 6? - Triangles

Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - 7 heroes

5 heroes galloping on 5 horses behind. How many ways can sort them behind? - Flags

How many different flags can be made from colors purple, yellow, red, white, blue, green, orange so that each flag consisted of three different colors? - Vans

In how many ways can 5 shuttle vans line up at the airport? - Word

What is the probability that a random word composed of chars H, T, M, A will be MATH? - Shelf

How many ways are there to arrange 6 books on a shelf? - Phone numbers

How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Rectangles

How many rectangles with area 3002 cm^{2}whose sides is natural numbers are? - Playing cards

How many possible ways are to shuffle 6 playing cards? - Pairs

At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Lock

Combination lock will open when the right choice of 3 numbers (from 1 to 25 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately? - Subsets

How many are all subsets of set ?? - Kids

How many different ways can sit 8 boys and 3 girls in line, if girls want to sit on the edge? - School trip

Class has 17 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 1× 3-bed and 2× 4-bed rooms. (Each room has its own unique number) - Hockey players

After we cycle five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Toys

3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy? - Numbers

How many different 7 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3,4,5,6? - Chess

How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color? - Password

The voltage station is every day changing the master password, which consists of three letters. Code generation process does not change and is based on the following procedure: The following letters (A) to (I) correspond to different numbers from 1 to 9. I

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