(12)-भुज के शीर्षों में से (4) शीर्ष चुनने हैं ताकि कोई दो चुने हुए शीर्ष आसन्न न हों। कितने चयन संभव हैं?
Choose (4) vertices of a (12)-gon so that no two chosen vertices are adjacent. How many selections are possible?
Explanation opens after your attempt
Correct Answer
D. (105)
Concept
The circular non-adjacent selection formula is \(\frac{n}{n-r},{}^{n-r}C_{r}\). Here \(\frac{12}{8}\times{}^{8}C_{4}=105\).
Why this answer is correct
The correct answer is D. (105). The circular non-adjacent selection formula is \(\frac{n}{n-r},{}^{n-r}C_{r}\). Here \(\frac{12}{8}\times{}^{8}C_{4}=105\).
Exam Tip
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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