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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

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2We 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).

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