Question
Question: A question paper is divided into two parts A and B and each part contains 5 questions. The number of...
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
200
Explanation
Solution
The number of ways that the candidate may select 2 questions from A and 4 from B = 5C2 x 5C4
3 questions from A and 3 from B = 5C3 x 5C3
4 questions from A and 2 from B = 5C4 x 5C2
Hence total number of ways are 200.