Given that, there are 9 women and 8 men, a committee of 12 is to be formed including at least 5 women.This can be done in=(5 women and 7 men )+(6 women and 6 men )+(7 women and 5 men )+(8 women and 4 men ) +(9 women and 3 men) waysTotal number of ways of forming committee=(9C5​⋅8C7​)+(9C6​⋅8C6​)+(9C7​⋅8C5​)+(9C8​⋅8C4​)+(9C9​9C3​)=1008+2352+2016+630+56=6062​(i) The women are in majority =2016+630+56=2702(ii) The man are in majority =1008 ways