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Popular >

simplify (9!)/((9-9)!)

Solution

simplify

\frac{9 !}{( 9 - 9 ) !}

Solution

362880

Solution steps

\frac{9 !}{( 9 - 9 ) !}

Cancel the factorials:

\frac{n !}{( n - m ) !} = n \cdot (n - 1) \dots (n - m + 1), n > m

\frac{9 !}{( 9 - 9 ) !} = 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1

= 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1

Multiply the numbers:

9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 362880

= 362880

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200 \div 50

Frequently Asked Questions (FAQ)

What is (9!)/((9-9)!) ?
The solution to (9!)/((9-9)!) is 362880