What is (20!)/(2!(20-2)!) ?

The solution to (20!)/(2!(20-2)!) is 190

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simplify (20!)/(2!(20-2)!)

simplify

\frac{20 !}{2 ! ( 20 - 2 ) !}

190

Solution steps

\frac{20 !}{2 ! ( 20 - 2 ) !}

Subtract the numbers:

20 - 2 = 18

= \frac{20 !}{2 ! \cdot 18 !}

Cancel the factorials:

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

\frac{20 !}{18 !} = 20 \cdot 19

= \frac{20 \cdot 19}{2 !}

\frac{20 \cdot 19}{2 !} = 190

= 190

12 w^{18} + 18 w^{12} - 30 w^{7}

\frac{3}{2 3 ( 5 ) + 1}

(y - x) (y - x)

x + 7 \geq 2 x - 1

0 = x^{2} + x - 2