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What is the ratio of (4!) to (3!)?(4!) और (3!) का अनुपात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4:1\)\(4:1\)
Since \(4!=4\times3!\), \(4!:3!=4\times3!:3!=4:1\). Hence, the correct ratio is \(4:1\). The ratio \(3:1\) would arise from comparing \(3!\) with \(2!\). Exam tip: use \(n!=n\times(n-1)!\) to simplify factorial ratios quickly.\(4!=4\times3!\)। अतः \(4!:3!=4\times3!:3!=4:1\), इसलिए सही उत्तर \(4:1\) है। \(3:1\) तब मिलता यदि \(3!\) की तुलना \(2!\) से की जाती। परीक्षा टिप: \(n!=n\times(n-1)!\) का उपयोग करके ऐसे अनुपात तुरंत सरल करें।
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