Problem

Determine whether the statement below is true or false. If it is false, rewrite it as a true statement.
The number of different ordered arrangements of $n$ distinct objects is $n !$.
Choose the correct answer below.
A. The statement is false. A true statement is, "The number of different ordered arrangements of $n$ distinct objects is $(n-1) ! "$
B. The statement is true.
C. The statement is false. A true statement is, "The number of different ordered arrangements of $\mathrm{n}$ distinct objects is $n . "$

D. The statement is false. A true statement is, "The number of different unordered arrangements of $n$ distinct objects is $n !$ !"

Answer

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Answer

The correct answer is \(\boxed{\text{(B) The statement is true.}}\)

Steps

Step 1 :Determine whether the statement below is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of $n$ distinct objects is $n !$.

Step 2 :Choose the correct answer below.

Step 3 :The correct answer is \(\boxed{\text{(B) The statement is true.}}\)

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