What is (10!)/((10-6)!) ?

The solution to (10!)/((10-6)!) is 151200

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simplify (10!)/((10-6)!)

simplify

\frac{10 !}{( 10 - 6 ) !}

151200

Solution steps

\frac{10 !}{( 10 - 6 ) !}

Cancel the factorials:

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

\frac{10 !}{( 10 - 6 ) !} = 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5

= 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5

Multiply the numbers:

10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 = 151200

= 151200

y - (- 2)

1 (x - 1)

16 0^{2}

\frac{120}{80}

(\frac{9}{2})^{3}