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A question paper on mathematics consists of 12 questions divided into 3 parts A,B,C each containing 4 questions. In how many ways can an examinee answer 5 questions selecting at least one from each part?

A question paper on mathematics consists of 12 questions divided into 3 parts A,B,C each containing 4 questions. In how many ways can an examinee answer 5 questions selecting at least one from each part?


 

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear jee king

A      B       C    total

1      1       3      5

1      2       2       5

1     3        1      5

2     1        2       5

2     2       1       5

3      1       1        5

 

so tatal possible ways = 4C14C14C3  +4C14C24C2  +4C14C34C1  +4C24C14C2  +4C24C24C1 +4C34C14C1

 


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