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\(9\times8!\) is equal to which of the following?\(9\times8!\) किसके बराबर है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9!\)\(9!\)
By the factorial identity, \(n!=n\times(n-1)!\). Hence, \(9!=9\times8!\), so \(9!\) is the correct option. \(10!\) would require \(10\times9!\), so it is not correct. Exam tip: Rewrite \(n!\) as \(n\times(n-1)!\) to solve such questions quickly.क्रमगुणित की परिभाषा के अनुसार \(n!=n\times(n-1)!\)। अतः \(9!=9\times8!\), इसलिए सही विकल्प \(9!\) है। \(10!\) के लिए \(10\times9!\) चाहिए, इसलिए वह सही नहीं है। परीक्षा टिप: \(n!\) को तुरंत \(n\times(n-1)!\) के रूप में लिखकर ऐसे प्रश्न हल करें।
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