Factorial - practice problems - last page
Number of problems found: 135
- 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
Arnold got birthday 7 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 324!?
- 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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