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From (12) numbers (5) numbers are to be selected with (2) fixed numbers included and (1) fixed number excluded. How many ways are there?(12) संख्याओं में से (5) संख्याएं चुननी हैं जिनमें (2) निश्चित संख्याएं शामिल हों और (1) निश्चित संख्या शामिल न हो। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (84)(84)
The (2) numbers are fixed and (1) is excluded. The remaining (3) numbers are chosen from (9) in (\binom{9}{3}=84) ways.(2) संख्याएं तय हैं और (1) हट गई है। बाकी (3) संख्याएं (9) में से (\binom{9}{3}=84) तरीकों से चुनी जाएंगी।
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