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?

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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