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`

`(14!)/(6!(14-6)!)`

`(14!)/(6!(8)!)`

`(7*8*9*10*11*12*13*14)/(1*2*3*4*5*6*7*8)`
= 3003 ways