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If \(a=6!\) and \(b=5!\), what is the value of \(\frac{a}{b}\)?यदि \(a=6!\) और \(b=5!\), तो \(\frac{a}{b}\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 66
Since \(6!=6\times5!\), \(\frac{a}{b}=\frac{6!}{5!}=\frac{6\times5!}{5!}=6\). Therefore, option B is correct. \(30\) is incorrect because it is the value of \(5!\), not of \(\frac{6!}{5!}\). Exam tip: use the direct rule \(\frac{n!}{(n-1)!}=n\).क्योंकि \(6!=6\times5!\), इसलिए \(\frac{a}{b}=\frac{6!}{5!}=\frac{6\times5!}{5!}=6\)। अतः सही विकल्प B है। \(30\) इसलिए गलत है क्योंकि वह \(5!\) का मान है, \(\frac{6!}{5!}\) का नहीं। परीक्षा टिप: \(\frac{n!}{(n-1)!}=n\) का नियम सीधे लागू करें।
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