What is (25!)/(7!(25-7)!) ?

The solution to (25!)/(7!(25-7)!) is 480700

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simplify (25!)/(7!(25-7)!)

simplify

\frac{25 !}{7 ! ( 25 - 7 ) !}

480700

Solution steps

\frac{25 !}{7 ! ( 25 - 7 ) !}

Subtract the numbers:

25 - 7 = 18

= \frac{25 !}{7 ! \cdot 18 !}

Cancel the factorials:

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

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

= \frac{25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19}{7 !}

\frac{25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19}{7 !} = 480700

= 480700

3 a^{2} - 18 a + 27

4 x^{2} + x - 5 = 0

(15625 x)^{\frac{1}{6}}

(x + 4)^{2} (x + 1) (x + 7) \leq 0

\frac{1}{3} + \frac{4}{5}