What is the value of 11!-10!9!?

We can use subtraction of fractions to get 11!-10!9! = 11!9! - 10!9! = 110 -10 = 100.

smc

prealgebra senior

Problem

What is the value of

\frac{11 ! - 10 !}{9 !}

(A)

99

(B)

100

(C)

110

(D)

121

Solution

We can use subtraction of fractions to get

\frac{11 ! - 10 !}{9 !} = \frac{11 !}{9 !} - \frac{10 !}{9 !} = 110 - 10 = 100 .

Final answer