Permutations

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

How many ways can 3 different vases be arranged on a tray?

Back

6

Front

What is the formula for calculating permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the value of 5! (5 factorial)?

Back

120

Front

In how many ways can a President, Vice-President, and Secretary be chosen from a group of 12?

Back

This is a permutation problem.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

If you have 10 players, how many ways can the coach make a batting order?

Back

3628800 (10!).

Front

What is 0! (zero factorial)?

Back

0! = 1 by definition.

Front

How many ways can you arrange the letters in the word 'CAT'?

Back

6 (3! = 6).

Front

What is the value of 4! (4 factorial)?

Back

24.