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Popular >

simplify (10!)/(2!2!2!)

Solution

simplify

\frac{10 !}{2 ! 2 ! 2 !}

Solution

453600

Solution steps

\frac{10 !}{2 ! \cdot 2 ! \cdot 2 !}

Cancel the factorials:

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

\frac{10 !}{2 !} = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3

= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3}{2 ! \cdot 2 !}

\frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3}{2 ! \cdot 2 !} = 453600

= 453600

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Frequently Asked Questions (FAQ)

What is (10!)/(2!2!2!) ?
The solution to (10!)/(2!2!2!) is 453600