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Our related question with answer
A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are four married couples. No team is to consist of a husband and his wife.
What is the maximum number of games that can be played?
Let H be husband and W be wife
The possible teams are
(H1,W2), (H1,W3), (H1,W4)
(H2,W1), (H2,W3), (H2,W4)
(H3,W2), (H3,W1), (H3,W4)
(H4,W2), (H4,W3), (H4,W1) ie., 12 teams or a max of 6 matches can be played.
A double Decker bus can accommodate 80 passengers 35 in upper deck and 40 in lower deck. In how many ways can a group of 80 passengers be accommodated if 5 refuse to sit in the lower deck and 10 refuse to sit in the upper deck
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There are 12 different chocolates placed on a table along a straight line. In how many ways can a person choose 4 of them such that no 2 of the chosen chocolates lie next to each other?
There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.
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