SOLUTION: There are 12 true-false questions and 14 multiple choice questions from which to choose a 5-question quiz. How many ways can the quiz be selected if there must be at least 3 multip

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Question 909485: There are 12 true-false questions and 14 multiple choice questions from which to choose a 5-question quiz. How many ways can the quiz be selected if there must be at least 3 multiple choice questions selected?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 kinds of quizzes:

1. 2 true/false, 3 multiple choice.  (12C2)(14C3) =  (66)(364) = 24024 
2. 1 true/false, 4 multiple choice.  (12C1)(14C4) = (12)(1001) = 12012
3. 0 true/false, 5 multiple choice.  (12C0)(14C5) =  (1)(2002) =  2002
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                                                         Total = 38038

Edwin