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A student chooses (4) practice days from (10) days. No two selected days should be consecutive. In how many ways can this be done?एक विद्यार्थी (10) दिनों में से (4) दिन अभ्यास चुनता है। कोई दो चुने गए दिन लगातार नहीं होने चाहिए। चयन कितने तरीकों से होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (35)(35)
The number of ways to choose (4) non-consecutive days is (\binom{10-4+1}{4}). Remember the gap method for non-consecutive selections.लगातार न होने वाले (4) दिनों का चयन (\binom{10-4+1}{4}) से मिलेगा। गैर-लगातार चयन में अंतर विधि याद रखें।
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