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Choose (4) numbers from (1) to (20) so that no two are consecutive. How many selections are possible?(1) से (20) तक की संख्याओं में से (4) संख्याएं चुननी हैं ताकि कोई दो लगातार न हों। कितने चयन संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3876)(3876)
If no two are consecutive, use (^{n-r+1}C_{r}). Here (^{17}C_{4}=2380), so the correct answer is (2380).कोई दो लगातार न हों तो सूत्र (^{n-r+1}C_{r}) है। यहां (^{17}C_{4}=2380), इसलिए सही विकल्प (2380) है।
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