A student council consists of 13 students containing 7 men a…
A student council consists of 13 students containing 7 men and 6 women. (1) In how many ways can a committee of 9 be selected from the membership of the council? (2) How many committees of 9 contain 4 men and 5 women? (3) Two council members have the same major and are not permitted to serve together on a committee. How many ways can a committee of 9 be selected from the membership of the council? (4) How many 9-person committees contain at least three women? (Please fill each blank with an integer.)