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Popular >

simplify (14!)/(5!9!)

Solution

simplify

\frac{14 !}{5 ! 9 !}

Solution

2002

Solution steps

\frac{14 !}{5 ! \cdot 9 !}

Cancel the factorials:

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

\frac{14 !}{9 !} = 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10

= \frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10}{5 !}

\frac{14 \cdot 13 \cdot 12 \cdot 11 \cdot 10}{5 !} = 2002

= 2002

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Frequently Asked Questions (FAQ)

What is (14!)/(5!9!) ?
The solution to (14!)/(5!9!) is 2002