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What is the value of \(\frac{6!}{3!}\div5\)?\(\frac{6!}{3!}\div5\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2424
Since \(6!=6\times5\times4\times3!\), \(\frac{6!}{3!}=6\times5\times4=120\). Now \(120\div5=24\), so the correct answer is 24. A value such as 30 can result from cancelling factors incorrectly. Exam tip: In a factorial fraction, first expand only up to the common factorial and cancel it before calculating.\(6!=6\times5\times4\times3!\) है। इसलिए \(\frac{6!}{3!}=6\times5\times4=120\)। अब \(120\div5=24\), अतः सही उत्तर 24 है। 30 तब मिल सकता है जब गुणनखंडों को गलत तरीके से रद्द किया जाए। परीक्षा टिप: फैक्टोरियल भिन्न में पहले सामान्य फैक्टोरियल को काटें, फिर शेष गणना करें।
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