SOLUTION: There are 12 questions on an examination and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could

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Question 228487: There are 12 questions on an examination and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 12 questions on an examination and each student must answer 8 questions including at least 4 of the first 5 questions. How many different combinations of questions could a student choose to answer?
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Ways to choose 4 of the 1st 5: 5C4 = 5
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Ways to choose 4 of the last 7: 7C4 = 7*6*5/1*2*3 = 35
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Total # of choices: 5*35 = 175
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Cheers,
Stan H.