SOLUTION: In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10

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Question 820396: In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6
questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B.
If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
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Combinations from A and from B:: 4/6 ; 5/5 ; 6/4
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# of ways to get the 4/6 pattern: 6C4*7C6 = 15*7 = 105
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# of ways to get the 5/5 pattern: 6C5*7C5 = 6*21 = 126
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# of ways to get the 6/4 pattern: 6C6*7C4 = 1*35 = 35
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Total # of ways: 266
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Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. 

If there are 6 questions in part A and 7 in part B,

in how many ways can 10 questions be answered ?

   (6C4)(7C4)  2 remaining questions to be answered (0,1,2) from part A, rest from part B

in how many ways can 10 questions be answered ?

   

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