AP EAMCET · Maths · Permutation Combination
A committee of 12 members is to be formed from 9 women and 8 men. The number of committees in which the women are in majority is
- A \(2720\)
- B \(2702\)
- C \(2270\)
- D \(2278\)
Answer & Solution
Correct Answer
(B) \(2702\)
Step-by-step Solution
Detailed explanation
A committee of 12 members is to be formed when women are in majority. Case I 9 women and 3 men \(\begin{aligned} \therefore \text { Number of ways }={ }^9 C_9 \times{ }^8 C_3 & =1 \times \frac{8 \times 7 \times 6}{3 \times 2 \times 1} \\ & =56\end{aligned}\) Case II 8 women and…
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