What is (20!)/(4!(20-4)!) ?

The solution to (20!)/(4!(20-4)!) is 4845

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simplify (20!)/(4!(20-4)!)

simplify

\frac{20 !}{4 ! ( 20 - 4 ) !}

4845

Solution steps

\frac{20 !}{4 ! ( 20 - 4 ) !}

Subtract the numbers:

20 - 4 = 16

= \frac{20 !}{4 ! \cdot 16 !}

Cancel the factorials:

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

\frac{20 !}{16 !} = 20 \cdot 19 \cdot 18 \cdot 17

= \frac{20 \cdot 19 \cdot 18 \cdot 17}{4 !}

\frac{20 \cdot 19 \cdot 18 \cdot 17}{4 !} = 4845

= 4845

(5 x + 2)^{2} - (3 x - 4)^{2}

6 a^{4} b - 10 a^{3} b^{2} - 6 a^{2} b^{3}

2 s + 5 \geq 49

3 + 4 y < 12

\frac{1}{6} \cdot 24