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Factorials and Permutations Exercises

Example 1

Find the following factorial: 1!

Example 2

Find the following factorial: 5!

Example 3

Find the following factorial: 8!

Example 4

How many ways are there to order 6 books on a shelf?

Example 5

Simplify the factorial expression: 

Example 6

Simplify the factorial expression: 

Example 7

Simplify the factorial expression: 

Example 8

How many permutations are there with 4 objects and 2 places?

Example 9

How many permutations are there with 6 objects and 2 places?

Example 10

How many permutations are there with 5 objects and 3 places?

Example 11

Find the number of permutations: 

Example 12

Find the number of permutations: 

Example 13

Find the number of permutations: 

Example 14

How many possible combinations are there on a 3-digit combination lock (each digit ranging from 0 to 9)? It's okay, you can tell us...we're not trying to break into your locker.

Example 15

With repetition allowed, how many ways can one choose 6 out of 9 things?

Example 16

How many possible 7-digit telephone numbers are there? Someone left their umbrella on the subway and we need to track them down. 

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