What is (20!)/(6!(20-6)!) ?

The solution to (20!)/(6!(20-6)!) is 38760

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simplify (20!)/(6!(20-6)!)

simplify

\frac{20 !}{6 ! ( 20 - 6 ) !}

38760

Solution steps

\frac{20 !}{6 ! ( 20 - 6 ) !}

Subtract the numbers:

20 - 6 = 14

= \frac{20 !}{6 ! \cdot 14 !}

Cancel the factorials:

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

\frac{20 !}{14 !} = 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15

= \frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15}{6 !}

\frac{20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15}{6 !} = 38760

= 38760

30!

5000 \cdot 28 \cdot 7.142857143

27 x^{3} + 216

5 x + 13 < 48

24 x + 12 = 2 (12 x + 6)