Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Because the words BET and BEE both contain three letters, the number of permutations of the letters in each word is 3!, or 6. ____

Solution

Verified
Step 1
1 of 2

We need to determine whether there are $3!=6$ permutations of the letters in the word BET and in the word BEE.

The word BEE contains less than $3!=6$ permutations, because the word contains a repeated letter. That is, the word contains only $\frac{3!}{2!}=3$ permutations, since we need to divide by the number of ways in which an identical element could be selected (that is, we divide by 2! because one letter is repeated 2 times).

## Recommended textbook solutions #### Discrete Mathematics and Its Applications

7th EditionISBN: 9780073383095Kenneth Rosen
4,283 solutions #### Thinking Mathematically

7th EditionISBN: 9780134683713Robert F. Blitzer
9,064 solutions #### Discrete Mathematics

8th EditionISBN: 9780321964687 (2 more)Richard Johnsonbaugh
4,246 solutions #### Discrete Mathematics and Its Applications

8th EditionISBN: 9781259676512Kenneth Rosen
4,397 solutions