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A child must choose from among 3 balloons, each of a different color.
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Updated on: 29 Apr 2023, 23:53
Updated on: 29 Apr 2023, 23:53
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Question Stats:
56% (00:38) correct
43% (00:58) wrong based on 44 sessions
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A child must choose from among 5 balloons, each of a different color.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
The number of combinations of 2 different balloons he can choose |
The number of combinations of 3 different balloons he can choose |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: A child must choose from among 3 balloons, each of a different color.
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18 Feb 2023, 06:54
18 Feb 2023, 06:54
Expert Reply
OE
Upon further inspection, you can see that choosing 2 balloons out of 5 is the same as choosing 3 balloons out of 5: when you choose 2 items out of 5, you are simultaneously choosing to exclude 3 items from your choice. You are effectively dividing the 5 balloons into a “Yes” pool and a “No” pool. The second scenario is the reverse of this: you are saying “Yes” to 3 balloons and “No” to 2 balloons. There are the same number of ways to say “Yes” to 2 balloons out of 5 as there are to say “No” to 2 balloons out of 5.
Upon further inspection, you can see that choosing 2 balloons out of 5 is the same as choosing 3 balloons out of 5: when you choose 2 items out of 5, you are simultaneously choosing to exclude 3 items from your choice. You are effectively dividing the 5 balloons into a “Yes” pool and a “No” pool. The second scenario is the reverse of this: you are saying “Yes” to 3 balloons and “No” to 2 balloons. There are the same number of ways to say “Yes” to 2 balloons out of 5 as there are to say “No” to 2 balloons out of 5.
Re: A child must choose from among 3 balloons, each of a different color.
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29 Apr 2023, 22:32
29 Apr 2023, 22:32
1
Carcass I think the question has a typo. In the question it says 3 balloons, but in the explanation you but that the child chooses from 5 different balloons.
