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What is the value of (\binom{12}{4})?(\binom{12}{4}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 495495
\(\binom{12}{4}=\frac{12!}{4!\,8!}=\frac{12\times11\times10\times9}{4\times3\times2\times1}=495\). Therefore, 495 is the correct answer. The value 11880 is \(^{12}P_4\), where different orders are counted separately. Exam tip: In combinations, order does not matter, so divide by \(r!\).\(\binom{12}{4}=\frac{12!}{4!\,8!}=\frac{12\times11\times10\times9}{4\times3\times2\times1}=495\)। अतः सही उत्तर 495 है। विकल्प 11880, \(^{12}P_4\) का मान है, क्योंकि उसमें क्रम को अलग-अलग गिना जाता है। परीक्षा टिप: संयोजन में क्रम महत्त्वपूर्ण नहीं होता, इसलिए \(r!\) से भाग दिया जाता है।
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