(16) सदस्यों में (4) वरिष्ठ सदस्य हैं। (7) सदस्यों की समिति में कम से कम (2) वरिष्ठ सदस्य होने चाहिए। कितनी समितियां बनेंगी?
Among (16) members, (4) are senior members. A committee of (7) must contain at least (2) senior members. How many committees are possible?
Explanation opens after your attempt
Correct Answer
A. (6952)
Concept
The number of senior members can be (2), (3), or (4). The sum is \(^{4}C_{2}{}^{12}C_{5}+^{4}C_{3}{}^{12}C_{4}+^{4}C_{4}{}^{12}C_{3}=6952\).
Why this answer is correct
The correct answer is A. (6952). The number of senior members can be (2), (3), or (4). The sum is \(^{4}C_{2}{}^{12}C_{5}+^{4}C_{3}{}^{12}C_{4}+^{4}C_{4}{}^{12}C_{3}=6952\).
Exam Tip
वरिष्ठ सदस्यों की संख्या (2), (3), या (4) हो सकती है। योग \(^{4}C_{2}{}^{12}C_{5}+^{4}C_{3}{}^{12}C_{4}+^{4}C_{4}{}^{12}C_{3}=6952\)।
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