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Popular >

simplify (6!)/(3!1!1!1!)

Solution

simplify

\frac{6 !}{3 ! 1 ! 1 ! 1 !}

Solution

120

Solution steps

\frac{6 !}{3 ! \cdot 1 ! \cdot 1 ! \cdot 1 !}

Apply exponent rule:

aaa = a^{3}

1! \cdot 1! \cdot 1! = 1!^{3}

= \frac{6 !}{3 ! \cdot 1 ! ^{3}}

Cancel the factorials:

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

\frac{6 !}{3 !} = 6 \cdot 5 \cdot 4

= \frac{6 \cdot 5 \cdot 4}{1 ! ^{3}}

\frac{6 \cdot 5 \cdot 4}{1 ! ^{3}} = 120

= 120

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Frequently Asked Questions (FAQ)

What is (6!)/(3!1!1!1!) ?
The solution to (6!)/(3!1!1!1!) is 120