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?

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Solution

The correct option is B 48
(B) $^{4} C_{3} \times^{4} C_{2} +^{4} C_{2} \times^{4} C_{3}$
$= 4 \times 6 + 4 \times 6 = 48$

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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?

The correct option is B 48(B) 4C3×4C2+4C2×4C3=4×6+4×6=48

The correct option is B 48
(B) $^{4} C_{3} \times^{4} C_{2} +^{4} C_{2} \times^{4} C_{3}$
$= 4 \times 6 + 4 \times 6 = 48$