# Factorial - examples

- Desks

A class has 20 students. The classroom consists of 20 desks, with 4 desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends, and would like to sit in the same row. How many possible seating arrangements are there such that Amy, Bob, C - Vans

In how many ways can 8 shuttle vans line up at the airport? - Seating

How many ways can 7 people sit on 3 numbered chairs (eg seat reservation on the train)? - Guests

How many ways can 7 guests sit down on 9 seats standing in a row? - Word

What is the probability that a random word composed of chars M, R, P, E, I, O, G, S, S, G, R, T, E, C, E, N, I, O, O, R will be GEOMETRICPROGRESSION? - Shelf

How many ways are there to arrange 9 books on a shelf? - Playing cards

How many possible ways are to shuffle 7 playing cards? - Pairs

At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Candy

How many ways can divide 22 identical candies to 4 children? - Kids

How many different ways can sit 5 boys and 5 girls in line, if girls want to sit on the edge? - Commitee

A class consists of 12 males and 19 females. How many committees of 4 are possible if the committee must consist of 2 males and 2 females? - School trip

Class has 21 students. What different ways students can be accommodated in the hostel, where available 2× 2-bed, 3× 3-bed and 2× 4-bed rooms. (Each room has its own unique number) - Numbers

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

On each side of the square is marked 2 different points outside the vertices of the square. How many triangles can be constructed from this set of points, where each vertex of the triangle lie on the other side of the square? - Elections

In elections candidate 8 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes. - Friends in cinema

5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter? - Seating rules

In a class are 22 seats but in 2.B class are only 14 students. How many ways can student seat? (The class has 11 benches. A bench is for a pair of students.) Result (large number) logarithm and thus write down as powers of 10. - Math logic

There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one w - Tournament

Determine how many ways can be chosen four representatives from 27 students to school tournament.

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