2.6: Coldicott family tennis teams
Mr and Mrs Coldicott have 5 sons and 4 daughters. All 11 members of the family play tennis. Six members of the family enter a tennis competition where teams consist of 4 males and 2 females.
(i)[2]
Find the number of different teams of 4 males and 2 females that could be selected if there are no further restrictions.
(ii)[2]
Find the number of different teams of 4 males and 2 females that could be selected if Mr and Mrs Coldicott must both be in the team.
(iii)[3]
Find the number of different teams of 4 males and 2 females that could be selected if either Mr or Mrs Coldicott is in the team but not both.