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What is the value of \(3!\times0!\)?\(3!\times0!\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 66
\(3!=3\times2\times1=6\), and by definition \(0!=1\). Therefore, \(3!\times0!=6\times1=6\), so option C is correct. It is incorrect to treat \(0!\) as 0; \(0!=1\) keeps permutation and combination formulas consistent. Exam tip: whenever you see \(0!\), substitute 1.\(3!=3\times2\times1=6\) तथा परिभाषा के अनुसार \(0!=1\) होता है। अतः \(3!\times0!=6\times1=6\), इसलिए सही विकल्प C है। \(0!\) को 0 मानना गलत है; क्रमचय-संचय के सूत्रों को संगत रखने के लिए \(0!=1\) परिभाषित किया जाता है। परीक्षा टिप: \(0!\) दिखते ही उसका मान 1 रखें।
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