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Question

A question paper is divided into 3 section A, B, C containing 3, 4, 5 question respectively. Find the number of ways of attempting 6 question choosing at least one from each section.

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Solution

no of combinations= A B C total
1 1 4 6
1 2 3 6
1 3 2 6
1 4 1 6
2 1 3 6
2 2 2 6
2 3 1 6
3 1 2 6
3 2 1 6
3C1×4C1×5C4+3C1×4C2×5C3......+3C3×4C2×5C1
850ways

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