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From (16) objects (7) objects are to be selected and at least (3) of (6) special objects are chosen. How many ways are there?(16) वस्तुओं में से (7) वस्तुएं चुननी हैं और (6) विशेष वस्तुओं में से कम से कम (3) चुनी जाएं। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (6960)(6960)
The number of special objects can be (3), (4), (5), or (6). The total is (\sum_{r=3}^{6}\binom{6}{r}\binom{10}{7-r}=6960).विशेष वस्तुएं (3), (4), (5) या (6) हो सकती हैं। कुल (\sum_{r=3}^{6}\binom{6}{r}\binom{10}{7-r}=6960) है।
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