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Popular >

simplify (12!)/(3!9!)

Solution

simplify

\frac{12 !}{3 ! 9 !}

Solution

220

Solution steps

\frac{12 !}{3 ! \cdot 9 !}

Cancel the factorials:

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

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

= \frac{12 \cdot 11 \cdot 10}{3 !}

\frac{12 \cdot 11 \cdot 10}{3 !} = 220

= 220

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Frequently Asked Questions (FAQ)

What is (12!)/(3!9!) ?
The solution to (12!)/(3!9!) is 220