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How can (15!) be written using (14!)?(15!) को (14!) की सहायता से कैसे लिखेंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(15\times14!\)\(15\times14!\)
By the definition of factorial, \(15!=15\times14\times13\times\cdots\times1\), while \(14!=14\times13\times\cdots\times1\). Hence, \(15!=15\times14!\). Option C still contains \(15!\) itself, so it does not correctly express it in terms of \(14!\). Exam tip: remember the general identity \(n!=n(n-1)!\).फैक्टोरियल की परिभाषा के अनुसार \(15!=15\times14\times13\times\cdots\times1\) और \(14!=14\times13\times\cdots\times1\) है। इसलिए \(15!=15\times14!\)। विकल्प C में \(15!\) स्वयं उपस्थित है, इसलिए वह \(14!\) के माध्यम से सही रूप नहीं देता। परीक्षा टिप: सामान्य नियम \(n!=n(n-1)!\) याद रखें।
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