How many ways are there to order 6 books on a shelf?
Answer
6! = 720
Example 5
Simplify the factorial expression:
Answer
56
Example 6
Simplify the factorial expression:
Answer
Example 7
Simplify the factorial expression:
Answer
45
Example 8
How many permutations are there with 4 objects and 2 places?
Answer
Example 9
How many permutations are there with 6 objects and 2 places?
Answer
Example 10
How many permutations are there with 5 objects and 3 places?
Answer
Example 11
Find the number of permutations:
Answer
60,480
Example 12
Find the number of permutations:
Answer
40,320
Example 13
Find the number of permutations:
Answer
210
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.
Answer
103 = 1000
Example 15
With repetition allowed, how many ways can one choose 6 out of 9 things?
Answer
96 = 531,441
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.
