SOLUTION: A test has 10 questions. You must answer a total of 7 questions, including exactly 4 of the first 6 questions. A) In how many ways can you choose 4 of the first 6 questions? B)

Question 1055075: A test has 10 questions. You must answer a total of 7 questions, including exactly 4 of the first 6 questions.
A) In how many ways can you choose 4 of the first 6 questions?
B) How many questions are left after you have answered 4 of the first 6 questions? How many must you still answer?
C) In how many ways can you choose questions to finish the test?
D) How many different ways are there of completing the test (meeting all of its requirements)? *** note.. I have answered question A
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A test has 10 questions. You must answer a total of 7 questions, including exactly 4 of the first 6 questions.
A) In how many ways can you choose 4 of the first 6 questions?:: 6C4 = 15
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B) How many questions are left after you have answered 4 of the first 6 questions?:: 6
How many must you still answer? 3
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C) In how many ways can you choose questions to finish the test?
6C3 = 20
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D) How many different ways are there of completing the test (meeting all of its requirements)?
Ans:: 15*20 = 300
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Cheers,
Stan H.
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