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

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> 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       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

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

Answer by khwang(438) About Me  (Show Source):
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).