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Ben and Ann are among 7 contestants from which 4 semifinalists are to be selecte
Ben and Ann are among 7 contestants from which 4 semifinalists are to be selecte
游客
2025-02-27
9
管理
问题
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?
选项
A、5
B、6
C、7
D、14
E、21
答案
A
解析
The number of possible selections of 4 semifinalists that do not contain Ben or Ann is equal to the number of possible selections of 4 semifinalists from the remaining 7-2 = 5 contestants, which is equal to
. Alternatively, the number of possible selections of 4 semifinalists from the remaining 5 contestants is equal to the number of possible selections of exactly 1 non-semifinalist, which is equal to 5.
The correct answer is A.
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