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

Front

What does the symbol '!' represent in permutations?

Back

The symbol '!' represents factorial, which is the product of all positive integers up to that number. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120.

Front

How many ways can you arrange 3 books out of 5?

Back

Using the formula, 5P3 = 5! / (5 - 3)! = 5 × 4 × 3 = 60.

Front

If a club has 5 members, how many ways can they select a president, vice president, and secretary?

Back

There are 60 ways to select a president, vice president, and secretary from 5 members.

Front

What is the number of permutations of the letters in the word 'math'?

Back

There are 24 different ways to arrange the letters in the word 'math'.

Front

What is the value of 7P2?

Back

7P2 = 42.

Front

What does the P stand for in nPr?

Back

P stands for Permutations.

Front

How many different three-digit PINs can be created using digits 0-9 without repeating any digits?

Back

There are 720 different possible three-digit PINs.

Front

What is the difference between permutations and combinations?

Back

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