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Popular >

simplify (10!)/(4!6!)

Solution

simplify

\frac{10 !}{4 ! 6 !}

Solution

210

Solution steps

\frac{10 !}{4 ! \cdot 6 !}

Cancel the factorials:

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

\frac{10 !}{6 !} = 10 \cdot 9 \cdot 8 \cdot 7

= \frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7}{4 !} = 210

= 210

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Frequently Asked Questions (FAQ)

What is (10!)/(4!6!) ?
The solution to (10!)/(4!6!) is 210