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Popular >

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

Solution

simplify

\frac{10 !}{5 ! ( 5 ! )}

Solution

252

Solution steps

\frac{10 !}{5 ! ( 5 ! )}

Apply rule:

(a) = a

(5!) = 5!

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

Cancel the factorials:

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

\frac{10 !}{5 !} = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6

= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 !} = 252

= 252

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Frequently Asked Questions (FAQ)

What is (10!)/(5!(5!)) ?
The solution to (10!)/(5!(5!)) is 252