What is (15!)/((15-4)!) ?

The solution to (15!)/((15-4)!) is 32760

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simplify (15!)/((15-4)!)

simplify

\frac{15 !}{( 15 - 4 ) !}

32760

Solution steps

\frac{15 !}{( 15 - 4 ) !}

Cancel the factorials:

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

\frac{15 !}{( 15 - 4 ) !} = 15 \cdot 14 \cdot 13 \cdot 12

= 15 \cdot 14 \cdot 13 \cdot 12

Multiply the numbers:

15 \cdot 14 \cdot 13 \cdot 12 = 32760

= 32760

2 + \frac{a}{4} = - 1

\frac{20 x ^{2} y ^{5}}{12 x y ^{7}}

\frac{3 x + 16}{5} = 2

(1 - y^{2}) = 0

(\frac{x ^{4}}{7 ^{- 8}})^{- 7}