What is (10!)/(8!(10-8)!) ?

The solution to (10!)/(8!(10-8)!) is 45

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simplify (10!)/(8!(10-8)!)

simplify

\frac{10 !}{8 ! ( 10 - 8 ) !}

45

Solution steps

\frac{10 !}{8 ! ( 10 - 8 ) !}

Subtract the numbers:

10 - 8 = 2

= \frac{10 !}{8 ! \cdot 2 !}

Cancel the factorials:

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

\frac{10 !}{8 !} = 10 \cdot 9

= \frac{10 \cdot 9}{2 !}

\frac{10 \cdot 9}{2 !} = 45

= 45

42 - 4

(3 x^{2} + 1)^{4}

\frac{1}{4} \times (- 6)

\frac{1}{4} \times 60

3 6 - 46