Question

A group consists of seven men and seven women. Six people are selected to attend a conference. In how many ways can six people be slected for this group of fourteen

Answer 1

$_{14}C_6$
$\frac{14!}{6!(14-6)!}$
$\frac{14!}{6!(8)!}$
$\frac{7*8*9*10*11*12*13*14}{1*2*3*4*5*6*7*8}$
= 3003 ways