Question

15, Evaluate 6 choose 4.

Answer 1

Answer: The required result is 15.

Step-by-step explanation: We are given to evaluate the following :

"6 choose 4".

Since we are to choose 4 from 6, so we have to use the combination of 6 different things chosen 4 at a time.

We know that

the formula for the combination of n different things chosen r at a time is given by

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

For the given situation, n = 6 and r = 4.

Therefore, we get

`^6C_4=(6!)/(4!(6-4)!)=(6!)/(4!2!)=(6*5*4!)/(4!*2*1)=15.`

Thus, the required result is 15.