There are four males - Paul, Sam, John, and David and four females -Sita, Gita, Mita and Rita. A team of two males and two females is to be formed such that Paul and John cannot be taken together in ateam. If John is selected, then David must be selected in that team, but not necessarily vice versa. Sita and Paul cannot be taken together in a team. Gita and Mita are always selected together in a team. How many teams can be there that include David?
Solution
From the given information in the question, The 2 males that can be selected with David are
(John, David), (Paul, David) and (David, Sam)
The teams of females possible are
(Gita, Mita) and (Sita, Rita) [Gita and Mita are always selected together in a team]
Now, total possible combinations are 3*2 = 6, but we need to exclude this case [(Paul, David), (Sita, Rita)]
=> Total combinations are 6 - 1 = 5.
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