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Among (9) people, (3) are friends. A committee of (5) is to be formed with exactly (2) of these (3) friends included. How many committees are possible?(9) लोगों में (3) मित्र हैं। (5) लोगों की समिति बनानी है जिसमें इन (3) मित्रों में से ठीक (2) शामिल हों। कितनी समितियाँ बनेंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (60)(60)
Choose (\binom{3}{2}) friends and (\binom{6}{3}) others. Exactly (2) means the third friend is excluded.मित्रों में से (\binom{3}{2}) और बाकी (6) लोगों में से (\binom{6}{3}) चयन होंगे। ठीक (2) का अर्थ तीसरा मित्र बाहर रहेगा।
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