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Popular >

simplify (6!)/((6-5)!5!)

Solution

simplify

\frac{6 !}{( 6 - 5 ) ! 5 !}

Solution

6

Solution steps

\frac{6 !}{( 6 - 5 ) ! \cdot 5 !}

Subtract the numbers:

6 - 5 = 1

= \frac{6 !}{1 ! \cdot 5 !}

Cancel the factorials:

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

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

= \frac{6}{1 !}

\frac{6}{1 !} = 6

= 6

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Frequently Asked Questions (FAQ)

What is (6!)/((6-5)!5!) ?
The solution to (6!)/((6-5)!5!) is 6