Factorial - practice problems - last page

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: 127

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

We apologize, but in this category are not a lot of examples.
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