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Popular >

simplify (9!)/(4!5!)

Solution

simplify

\frac{9 !}{4 ! 5 !}

Solution

126

Solution steps

\frac{9 !}{4 ! \cdot 5 !}

Cancel the factorials:

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

\frac{9 !}{5 !} = 9 \cdot 8 \cdot 7 \cdot 6

= \frac{9 \cdot 8 \cdot 7 \cdot 6}{4 !}

\frac{9 \cdot 8 \cdot 7 \cdot 6}{4 !} = 126

= 126

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Frequently Asked Questions (FAQ)

What is (9!)/(4!5!) ?
The solution to (9!)/(4!5!) is 126