(16) वस्तुओं में से (6) वस्तुएं चुननी हैं और (5) विशेष वस्तुओं में से अधिकतम (2) चुनी जाएं। कितने तरीके हैं?
From (16) objects (6) objects are to be selected and at most (2) of (5) special objects are chosen. How many ways are there?
Explanation opens after your attempt
C. (6072)
Concept
The number of special objects can be (0), (1), or (2). The total is \(\binom{5}{0}\binom{11}{6}+\binom{5}{1}\binom{11}{5}+\binom{5}{2}\binom{11}{4}=6072\).
Why this answer is correct
The correct answer is C. (6072). The number of special objects can be (0), (1), or (2). The total is \(\binom{5}{0}\binom{11}{6}+\binom{5}{1}\binom{11}{5}+\binom{5}{2}\binom{11}{4}=6072\).
Exam Tip
विशेष वस्तुएं (0), (1) या (2) चुनी जा सकती हैं। कुल \(\binom{5}{0}\binom{11}{6}+\binom{5}{1}\binom{11}{5}+\binom{5}{2}\binom{11}{4}=6072\) है।
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