A student council consists of 15 students containing 8 men a…
A student council consists of 15 students containing 8 men and 7 women. (1) In how many ways can a committee of 6 be selected from the membership of the council? (2) How many committees of 6 contain 3 men and 3 women? (3) Two council members always insist to serve the committee together or they won’t serve at all. How many ways can a committee of 6 be selected from the membership of the council? (4) How many 6-person committees contain at least one woman? (Please fill each blank with an integer.)