Question

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 at least two questions from each part is

• A. 80
• B. 100
• C. 200
• D. None of these

Answer 1

Answer: (C)

200

Answer 2

The number of ways that the candidate may select

2 questions from A and 4 from B = $5C_{2} \times^{5} ⥂ C_{4}$; 3 questions form A and 3 from B = $5C_{3} \times^{5} ⥂ C_{3}$

4 questions from A and 2 from B = $5C_{4} \times^{5}C_{2}$. Hence total number of ways are 200.