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What is the relation between (\binom{6}{2}) and (\binom{6}{4})?(\binom{6}{2}) और (\binom{6}{4}) में क्या संबंध है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: They are equalदोनों बराबर हैं
Combinations follow the symmetry property \(\binom{n}{r}=\binom{n}{n-r}\). Here, \(n=6\) and \(r=2\), so \(\binom{6}{2}=\binom{6}{6-2}=\binom{6}{4}\). In fact, both values are 15, so the first is not twice the second. Exam tip: combinations with \(r\) and \(n-r\) are always equal.संयोजन का सममिति गुण है: \(\binom{n}{r}=\binom{n}{n-r}\)। यहाँ \(n=6\) और \(r=2\) है, इसलिए \(\binom{6}{2}=\binom{6}{6-2}=\binom{6}{4}\)। वास्तव में दोनों का मान 15 है। इसलिए पहला दूसरे का दुगुना नहीं है। परीक्षा टिप: \(r\) और \(n-r\) वाले संयोजन सदैव बराबर होते हैं।
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