SOLUTION: A teacher is constructing a test of 10 questions she has a pool of 28 questions which are classified by level of difficulty 6 difficult, 10 average, 12 easy, how many different 1

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Question 64710This question is from textbook A survey of mathematics
: A teacher is constructing a test of 10 questions she has a pool of 28 questions which are classified by level of difficulty 6 difficult, 10 average, 12 easy, how many different 10 question test can be made from the 28 questions if her test is to have 3 difficult, 4 average, and 3 easy questions. This question is from textbook A survey of mathematics

Answer by stanbon(75887) About Me  (Show Source):
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A teacher is constructing a test of 10 questions she has a pool of 28 questions which are classified by level of difficulty 6 difficult, 10 average, 12 easy, how many different 10 question test can be made from the 28 questions if her test is to have 3 difficult, 4 average, and 3 easy questions.
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Select 3 difficult from 6 = 6C3
Select 4 average from 10 = 10C4
Select 3 easy from 12 = 12C3
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Total # of tests = 6C3*10C4*12C3=924,000
Cheers,
Stan H.