(10) अलग-अलग पेन और (8) अलग-अलग पेंसिलों में से (7) वस्तुएं चुननी हैं जिनमें कम से कम (2) पेन और कम से कम (2) पेंसिल हों। कितने तरीके हैं?
From (10) different pens and (8) different pencils (7) objects are to be selected with at least (2) pens and at least (2) pencils. How many ways are there?
Explanation opens after your attempt
B. (29736)
Concept
The number of pens can be (2), (3), (4), or (5). The total is \(\binom{10}{2}\binom{8}{5}+\binom{10}{3}\binom{8}{4}+\binom{10}{4}\binom{8}{3}+\binom{10}{5}\binom{8}{2}=29736\).
Why this answer is correct
The correct answer is B. (29736). The number of pens can be (2), (3), (4), or (5). The total is \(\binom{10}{2}\binom{8}{5}+\binom{10}{3}\binom{8}{4}+\binom{10}{4}\binom{8}{3}+\binom{10}{5}\binom{8}{2}=29736\).
Exam Tip
पेन (2), (3), (4) या (5) हो सकते हैं। कुल \(\binom{10}{2}\binom{8}{5}+\binom{10}{3}\binom{8}{4}+\binom{10}{4}\binom{8}{3}+\binom{10}{5}\binom{8}{2}=29736\) है।
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