What is (10!)/((10-5)!) ?

The solution to (10!)/((10-5)!) is 30240

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simplify (10!)/((10-5)!)

simplify

\frac{10 !}{( 10 - 5 ) !}

30240

Solution steps

\frac{10 !}{( 10 - 5 ) !}

Cancel the factorials:

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

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

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

Multiply the numbers:

10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 = 30240

= 30240

(2 - 3 i) - 3 i

(2 x - 4 y) (2 x + 4 y)

5 \times 15

2 \frac{1}{2} \div 2

(u + 2)^{2}