Permutations

Front

What is a permutation?

Back

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

Front

How do you calculate the number of permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!, where n is the total number of objects and r is the number of objects to arrange.

Front

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

Back

5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

How many ways can you arrange 4 books on a shelf?

Back

The number of arrangements is 4! = 24.

Front

If you have 3 different shirts and 2 different pairs of pants, how many outfits can you create?

Back

You can create 3 × 2 = 6 outfits.

Front

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

Back

The number of arrangements is 3! = 6.

Front

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

Back

The number of ways is P(5, 3) = 5! / (5 - 3)! = 60.

Front

How many ways can you choose 2 students from a group of 10?

Back

This is a combination problem, not a permutation. The answer is C(10, 2) = 45.

Front

What is the difference between permutations and combinations?

Back

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

Front

How many ways can a King and a First Runner-up be chosen from 7 candidates?

Back

The number of ways is P(7, 2) = 7! / (7 - 2)! = 42.