## hithere Evaluate. 7!/4!3! 1 35 210 one year ago one year ago

1. ParthKohli

$\Large \color{purple}{\rightarrow {7 * 6 * 5 * 4 * 3 * 2 * 1 \over 4 * 3^2 * 2^2 * 1 } }$

2. CeW

no need to expand... just use 7! = 7*6*5*4! and cancel out the 4!

3. ParthKohli

Cancel the terms that exist in both numerator and denominator.

4. ParthKohli

I was explaining it in the most basic way.

5. Callisto

$\frac{7!}{4!3!} = \frac{7\times 6\times 5\times 4!}{4!3!}=\frac{7\times 6\times 5}{3 \times 2 \times 1}$$=7 \times 5 =?$

6. hithere

35

7. Callisto

Yup :)