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Ben and Ann are among 7 contestants from which 4 semifinalis
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27 Aug 2020, 09:57
27 Aug 2020, 09:57
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Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann?
A. 5
B. 6
C. 7
D. 14
E. 21
A. 5
B. 6
C. 7
D. 14
E. 21
Re: Ben and Ann are among 7 contestants from which 4 semifinalis
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27 Aug 2020, 09:58
27 Aug 2020, 09:58
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
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Re: Ben and Ann are among 7 contestants from which 4 semifinalis
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27 Aug 2020, 10:25
27 Aug 2020, 10:25
Carcass wrote:
Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of the different possible selections, how many contain neither Ben nor Ann?
A. 5
B. 6
C. 7
D. 14
E. 21
A. 5
B. 6
C. 7
D. 14
E. 21
Let Ann, Bob, C, D, E, F, G be the 7 contestants.
To ensure that neither Ben nor Ann are among the four semifinalists, let's remove them from the list of contestants.
So, we can select the four semifinalists from {C, D, E, F, G}
Since the order in which we select the 4 semifinalists does not matter, we can use COMBINATIONS.
We can select 4 semifinalists from 5 contestants in 5C4 ways.
5C4 = 5
Answer: A
Cheers,
Brent
