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Choose (4) vertices of a (12)-gon so that no two chosen vertices are adjacent. How many selections are possible?(12)-भुज के शीर्षों में से (4) शीर्ष चुनने हैं ताकि कोई दो चुने हुए शीर्ष आसन्न न हों। कितने चयन संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (105)(105)
The circular non-adjacent selection formula is (\frac{n}{n-r},{}^{n-r}C_{r}). Here (\frac{12}{8}\times{}^{8}C_{4}=105).वृत्तीय गैर-आसन्न चयन का सूत्र (\frac{n}{n-r},{}^{n-r}C_{r}) है। यहां (\frac{12}{8}\times{}^{8}C_{4}=105)।
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