Question

A group consists of five men and seven women. four people are selected to attend a conference.

a. in how many ways can four people be selected from this group of twelve​?
b. in how many ways can four women be selected from the seven ​women?
c. find the probability that the selected group will consist of all women.0

Answer 1

a. That would be 12C4 = (12*11*10*9) / (4*3*2*1) = 495 ways

b. This is 7C4 = 7C3 = (7*6*5) / 6 = 35 ways

c. This would come to 7C4 / 12C4 = 35/495 = 7/99