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Popular >

simplify (15!)/(5!10!)

Solution

simplify

\frac{15 !}{5 ! 10 !}

Solution

3003

Solution steps

\frac{15 !}{5 ! \cdot 10 !}

Cancel the factorials:

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

\frac{15 !}{10 !} = 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11

= \frac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 !}

\frac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 !} = 3003

= 3003

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Frequently Asked Questions (FAQ)

What is (15!)/(5!10!) ?
The solution to (15!)/(5!10!) is 3003