What is (10!)/(1!(10-1)!) ?

The solution to (10!)/(1!(10-1)!) is 10

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simplify (10!)/(1!(10-1)!)

simplify

\frac{10 !}{1 ! ( 10 - 1 ) !}

10

Solution steps

\frac{10 !}{1 ! ( 10 - 1 ) !}

Subtract the numbers:

10 - 1 = 9

= \frac{10 !}{1 ! \cdot 9 !}

Cancel the factorials:

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

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

= \frac{10}{1 !}

\frac{10}{1 !} = 10

= 10

\frac{5}{2 - 3}

a \cdot (- a)

(5 x - 3) (x^{3} - 5 x + 2)

(x + 4)^{6}

\frac{72}{15}