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Popular >

simplify (10!)/(3!7!)

Solution

simplify

\frac{10 !}{3 ! 7 !}

Solution

120

Solution steps

\frac{10 !}{3 ! \cdot 7 !}

Cancel the factorials:

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

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

= \frac{10 \cdot 9 \cdot 8}{3 !}

\frac{10 \cdot 9 \cdot 8}{3 !} = 120

= 120

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Frequently Asked Questions (FAQ)

What is (10!)/(3!7!) ?
The solution to (10!)/(3!7!) is 120