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Popular >

simplify (9!)/(6!(9-6)!)

Solution

simplify

\frac{9 !}{6 ! ( 9 - 6 ) !}

Solution

84

Solution steps

\frac{9 !}{6 ! ( 9 - 6 ) !}

Subtract the numbers:

9 - 6 = 3

= \frac{9 !}{6 ! \cdot 3 !}

Cancel the factorials:

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

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

= \frac{9 \cdot 8 \cdot 7}{3 !}

\frac{9 \cdot 8 \cdot 7}{3 !} = 84

= 84

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Frequently Asked Questions (FAQ)

What is (9!)/(6!(9-6)!) ?
The solution to (9!)/(6!(9-6)!) is 84