There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz. How many ways can the quiz be selected, if there must be at least three multiple-choice questions selected?
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ur question is confusing
dblackwellaboss:
IKR my teacher is crazy lmao
and plus I'm a senior so
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The question says that atleast three multiple choice question,so there should not be less than 3 MCQs but can be more than 3MCQs in the 5 question quiz.
The combination must be selected in such a way that summation of number of questions will equal to 5[since it is 5quiz queston]
1. 20c3 * 10c2=1140 * 45=51300
2. 20c4 * 10c1=4845 * 10=48450
3. 20c5 * 10c0=15504 * 1=15504
The series is not continued because only 5 questions are to be included in the quiz
The summation of these three conditions is 1,15,254ways
I hope its the correct answer and hope it helps you!All the best
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