Arithmetic Ability
Permutations and Combinations

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Q.

A school has scheduled three volleyball games, two soccer games, and four basketball games. You have a ticket allowing you to attend three of the games. In how many ways can you go to two basketball games and one of the other events?

View Answer

Correct choice: B

Explanation:

Since order does not matter it is a combination. The word AND means multiply. Given 4 basketball, 3 volleyball, 2 soccer. We want 2 basketball games and 1 other event. There are 5 choices left. C(n,r) C(How many do you have, How many do you want) C(have 4 basketball, want 2 basketball) x C(have 5 choices left, want 1) C(4,2) x C(5,1) = (6)(5) = 30 Therefore there are 30 different ways in which you can go to two basketball games and one of the other events.
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