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(Q). A question paper is divided into two parts A & B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is:
Solution:-

A (5) B (5) Number of ways(6)case(i)case(ii)case(iii)234432⁵C₂×⁵C₄ = 10×5 = 50⁵C₃×⁵C₃ = 10×10 = 100⁵C₄×⁵C₂ = 5×10 = 50

∴ total number of ways = 50 + 100 + 50
                                          = 200 ways     Answer