Question

Evaluate C(7, 4) 35 210 5,040

Answer 1

We can use combination formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

we are given

C(7,4)

so, n=7 and r=4

now, we can plug this value

and we get

$C(7,4)=\frac{7!}{4!(7-4)!}$

$C(7,4)=\frac{7!}{4!\cdot \:3!}$

$=\frac{7\cdot \:6\cdot \:5}{3!}$

$=\frac{210}{6}$

$C(7,4)=35$.............Answer