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From (7) mathematics and (6) physics books (4) books are to be selected with at least (2) mathematics books. How many ways are there?(7) गणित और (6) भौतिकी पुस्तकों में से (4) पुस्तकें चुननी हैं जिनमें कम से कम (2) गणित पुस्तकें हों। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (595)(595)
The cases are (2), (3), and (4) mathematics books. The total is (\binom{7}{2}\binom{6}{2}+\binom{7}{3}\binom{6}{1}+\binom{7}{4}=560).मामले (2), (3) और (4) गणित पुस्तकों के हैं। कुल (\binom{7}{2}\binom{6}{2}+\binom{7}{3}\binom{6}{1}+\binom{7}{4}=560) है।
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