In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?
A. 24
B. 48
C. 96
D. 64
Answer: Option B
Solution (By Examveda Team)
5 questions can be selected in the following ways, 2 question from first group and 3 question from second group Or 3 question from first group and 2 question from second group. = (4C2 × 4C3) + (3C4 × 4C2) = 24 + 24= 48
(4C2 × 4C3) + (4C3 × 4C2)