10!/9!(10-10)! = ?
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Correct Answer: Option C
Explanation:
The expression can be simplified as follows:
\[
\frac{10!}{9! \times (10-10)!} = \frac{10!}{9! \times 0!}
\]
We know that \(10! = 10 \times 9!\) and \(0! = 1\), so:
\[
\frac{10 \times 9!}{9! \times 1} = \frac{10 \times 9!}{9!} = 10
\]
Thus, the correct answer is:
C. 10.
The expression can be simplified as follows:
\[
\frac{10!}{9! \times (10-10)!} = \frac{10!}{9! \times 0!}
\]
We know that \(10! = 10 \times 9!\) and \(0! = 1\), so:
\[
\frac{10 \times 9!}{9! \times 1} = \frac{10 \times 9!}{9!} = 10
\]
Thus, the correct answer is:
C. 10.