What is (6!)/(6!(6-6)!) ?

The solution to (6!)/(6!(6-6)!) is 1

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

simplify

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

1

Solution steps

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

Subtract the numbers:

6 - 6 = 0

= \frac{6 !}{6 ! \cdot 0 !}

Cancel the common factor:

6!

= \frac{1}{0 !}

\frac{1}{0 !} = 1

= 1

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