What is (25!)/(10!*(25-10)!) ?

The solution to (25!)/(10!*(25-10)!) is 3268760

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simplify (25!)/(10!*(25-10)!)

simplify

\frac{25 !}{10 ! \cdot ( 25 - 10 ) !}

3268760

Solution steps

\frac{25 !}{10 ! ( 25 - 10 ) !}

Subtract the numbers:

25 - 10 = 15

= \frac{25 !}{10 ! \cdot 15 !}

Cancel the factorials:

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

\frac{25 !}{15 !} = 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16

= \frac{25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16}{10 !}

\frac{25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16}{10 !} = 3268760

= 3268760

6 x + 6 = 0

\frac{4 m ^{4} n ^{4}}{2 n m ^{0} \cdot 3 m ^{0}}

(\frac{2 x ^{0}}{4 x ^{- 2} y ^{4}})^{2}

4 m^{2} n + 12 m^{2} - n - 3

12 x + 6 \geq 9 x + 12