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Popular >

simplify (6!)/(4!(6-4)!)

Solution

simplify

\frac{6 !}{4 ! ( 6 - 4 ) !}

Solution

15

Solution steps

\frac{6 !}{4 ! ( 6 - 4 ) !}

Subtract the numbers:

6 - 4 = 2

= \frac{6 !}{4 ! \cdot 2 !}

Cancel the factorials:

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

\frac{6 !}{4 !} = 6 \cdot 5

= \frac{6 \cdot 5}{2 !}

\frac{6 \cdot 5}{2 !} = 15

= 15

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Frequently Asked Questions (FAQ)

What is (6!)/(4!(6-4)!) ?
The solution to (6!)/(4!(6-4)!) is 15