SOLUTION: 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
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(A) 5
(B) 6
(C) 7
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Question 3572: 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
You can put this solution on YOUR website! Consider the number of the 4 selections containing neither Ben or Ann,
this means chosen 4 from the other five and it is equal to C(5,4) = 5.
Answer: A
Kenny
PS. Note the number of possible selection of the 4 semifinalists among 7 contestants is C(7,4).
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