Concept-wise Practice

factorial ratios MCQ Questions for Class 11

factorial ratios se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

1 questions tagged with factorial ratios.

(4!) और (3!) का अनुपात क्या है?

What is the ratio of (4!) to (3!)?

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Correct Answer

A. \(4:1\)

Explanation

Simple Explanation

\(4!=4\times3!\)। 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। / 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.

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