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How will (6!) be written using (4!)?(6!) को (4!) की सहायता से कैसे लिखा जाएगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(6\times5\times4!\)\(6\times5\times4!\)
By the definition of factorial, \(6!=6\times5\times4\times3\times2\times1\) and \(4!=4\times3\times2\times1\). Therefore, \(6!=6\times5\times4!\). In \(6\times4!\), the factor \(5\) is missing. Exam tip: When expressing \(n!\) in terms of \((n-r)!\), include every intervening factor.क्रमगुणित की परिभाषा से \(6!=6\times5\times4\times3\times2\times1\) तथा \(4!=4\times3\times2\times1\) है। इसलिए \(6!=6\times5\times4!\)। विकल्प \(6\times4!\) में गुणनखंड \(5\) छूट जाता है। परीक्षा टिप: \(n!\) को \((n-r)!\) की सहायता से लिखते समय बीच के सभी गुणनखंड लिखें।
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