Question

Hello,Can you help me with question 1: Evaluate the given binomial coefficient

Answer 1

Given the expression below

`(^8_3)`

Applying the combination formula below

`^nC_r=(n!)/(r!(n-1)!)`

The binomial coefficient will be

`=(8!)/(3!(8-3)!)=(8!)/(3!5!)=(8*7*6*5*4*3*2*1)/(3*2*1*5*4*3*2*1)=56`

Hence, the answer is 56