# Factorial - practice problems - page 6 of 7

The factorial of the number n is the product of the first n natural numbers. For example 6! (we read 6 factorial) is 1*2*3*4*5*6 = 720.

#### Number of problems found: 121

- Committees

How many different committees of 2 people can be formed from a class of 21 students? - Commitee

A class consists of 6 males and 7 females. How many committees of 7 are possible if the committee must consist of 2 males and 5 females? - Words

How many 2 letters "words" are possible using 14 letters of the alphabet? a) without repetition b) with repetition - Shelf

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

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

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

How many ways can 10 identical candies be divided among 5 children? - Pairs

At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - 7 heroes

6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Colors

Willie got birthday 6 color pens in different colors. How many ways can he give them side by side in pencil? - Word

What is the probability that a random word composed of chars S, G, R, S, E, I, N, A, L, P, C, T, M, H, E, E will be the SPHERICALSEGMENT? - Flags

How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors? - Tournament

Determine how many ways can be chosen two representatives from 34 students to school tournament. - Guests

How many ways can 8 guests sit down on 10 seats standing in a row? - Elections

In elections, candidates 10 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes. - Big factorial

How many zeros end number 116! ? - Chess

How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color? - Playing cards

How many possible ways are there to shuffle 8 playing cards? - School trip

The class has 19 students. How can students be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms? (Each room has its unique number) - Seating

How many ways can 7 people sit on 5 numbered chairs (e. g., seat reservation on the train)?

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