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

Algebra.Com
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)   (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
----------------------------------------------------------------------    
                                                         Total = 38038

Edwin




RELATED QUESTIONS

There are 10 true-false questions and 20 multiple choice questions from which to choose a (answered by Theo)
A quiz has 7 true/false questions. 8 multiple choice with 3 options each. How many... (answered by richwmiller)
If a quiz contains 5 true-false questions and 5 multiple-choice questions, each with 4... (answered by ewatrrr)
You take a test in which there are 247 points possible. The test consists of true/false... (answered by Fombitz)
There is a test worth 204 total points. The test has true/false questions worth 2... (answered by ikleyn)
You take a test in which there are 157 points possible. The test consists of true/false... (answered by ikleyn)
You are taking a quiz that has 8 multiple-choice questions. If each question has 5... (answered by ikleyn)
You take a test in which there are 341 points possible. The test consists of true/false... (answered by jorel555)
Dr. Smith is preparing a quiz for his Math class. The quiz contains 6 true/false... (answered by ikleyn)