A committee of 4people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if; 1) everyone is equally eligible. 2) the committee should include at least one woman

Answer 1

Without any restrictions, number of committees
= C(10,4) = 210

include at least one woman ---> exclude cases of all 4 being men

number of ways = 210 - C(5,4)
= 205