A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting atleast two questions from each part is

The number of way6 that the candidate may select(i) if 2 questions from. A and 4 questions from B =5C2×5C4=50(ii) 3 questions from A and 3 questions from B =5C3×5C3=100(iii) 4 questions from 4 and 2 questions from B =5C4×5C2=50Hence, total number of ways = 50 + 100 + 50 = 200