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From (14) questions (8) are to be selected and at least (4) of the last (6) questions must be selected. How many selections are there?(14) प्रश्नों में से (8) प्रश्न चुनने हैं और अंतिम (6) प्रश्नों में से कम से कम (4) प्रश्न चुनने हैं। कितने चयन होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1414)(1414)
You can choose (4), (5), or (6) from the last (6) questions. The total is (\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414).अंतिम (6) में से (4), (5) या (6) प्रश्न चुने जा सकते हैं। कुल (\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414) है।
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