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Probability : Combinations

Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets. He will invite 5 of his 9 closest friends from work to go with him. Mr. and Mrs. James will both attend the second game. They have 4 extra tickets and are considering asking 4 of 7 different friends from where Mrs. James works to go with them. How many different combinations of guests of possible for:

the first game?
the second game?
both games together?

Solution Preview

1) How many different combinations of guests of possible for the first game?

Solution. Since He will invite 5 of his 9 closest friends from work to go with him, there are C(9,5)=9!/(5!*4!)=126
different combinations of guests of possible ...

Solution Summary

Combinations are calculated.

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