What is (13!)/((13-8)!8!) ?

The solution to (13!)/((13-8)!8!) is 1287

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simplify (13!)/((13-8)!8!)

simplify

\frac{13 !}{( 13 - 8 ) ! 8 !}

1287

Solution steps

\frac{13 !}{( 13 - 8 ) ! \cdot 8 !}

Subtract the numbers:

13 - 8 = 5

= \frac{13 !}{5 ! \cdot 8 !}

Cancel the factorials:

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

\frac{13 !}{8 !} = 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9

= \frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9}{5 !}

\frac{13 \cdot 12 \cdot 11 \cdot 10 \cdot 9}{5 !} = 1287

= 1287

- 2 (y + 3) = 3 (y + 4) + 7

\frac{a ^{2} + 2 a - 3}{a + 3}

∣ 3 x + 5 ∣ < - 4

\frac{2 - i}{3 + 4 i}

1 - 9 x^{2}