Factorials !!!

Algebra Level 1

$\frac{10!}{3! \times 5!\times 7!}$ Find value of other expression

This problem is a part of the set Easy Factorials

12 100 1 9 2

2 solutions

Sakanksha Deo
Mar 31, 2015

$\frac{ 10! }{ 7! \times 5! \times 3! }$

$= \frac{ 10 \times 9 \times 8 \times 7! }{ 7! \times 5! \times 3! }$

$= \frac{10 \times 9 \times 8 }{ 5! \times 3! }$

$= \frac{ 10 \times 9 \times 8 }{ 120 \times 6 } = \boxed{1}$

Typo in the third line of your solution. You typed $\times$ two times between $9$ and $8$ .

Prasun Biswas - 6 years, 2 months ago

Ashish Menon
Jul 30, 2016

$\dfrac{10!}{3! × 5! × 7!} = \dfrac{3628800}{6 × 120 × 5040} = \color{#3D99F6}{\boxed{1}}$ .