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How can (5!) be written using (3!)?(5!) को (3!) की सहायता से कैसे लिखेंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(5\times4\times3!\)\(5\times4\times3!\)
By the definition of factorial, \(5!=5\times4\times3\times2\times1\), while \(3!=3\times2\times1\). Hence, \(5!=5\times4\times3!\). In \(5\times3!\), the factor \(4\) is missing. In exams, expand the larger factorial only up to the given smaller factorial.क्रमगुणित की परिभाषा के अनुसार \(5!=5\times4\times3\times2\times1\) और \(3!=3\times2\times1\) होता है। इसलिए \(5!=5\times4\times3!\)। विकल्प \(5\times3!\) में गुणनखंड \(4\) छूट जाता है। परीक्षा में बड़े क्रमगुणित को दिए गए छोटे क्रमगुणित तक फैलाकर लिखें।
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