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A committee of (3) persons is to be formed from (8) persons but (2) special persons cannot be selected together. How many ways are possible?(8) व्यक्तियों में से (3) व्यक्तियों की समिति बनानी है लेकिन (2) विशेष व्यक्ति साथ में नहीं चुने जा सकते। कितने तरीके होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (48)(48)
Total ways are (\binom{8}{3}=56) and if both special persons are together the third person is chosen in (6) ways. Hence the valid count is (50).कुल (\binom{8}{3}=56) हैं और दोनों विशेष साथ हों तो तीसरा व्यक्ति (6) तरीकों से चुनेगा। इसलिए (56-6=50) नहीं बल्कि सही उत्तर (50) है।
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