A committee of (5) is to be formed from (12) students, but two particular students can be selected only together. How many committees are possible?(12) विद्यार्थियों में से (5) की समिति बनानी है, लेकिन दो विशेष विद्यार्थी साथ-साथ ही चुने जा सकते हैं। कितनी समितियां बनेंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (372)(372)
If both special students are selected, count (^{10}C_{3}); if both are not selected, count (^{10}C_{5}). Total (120+252=372).दोनों विशेष चुने जाएं तो (^{10}C_{3}), और दोनों न चुने जाएं तो (^{10}C_{5})। कुल (120+252=372)।
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