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What will be the value of ({}^{6}P_{6})?({}^{6}P_{6}) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 720720
The permutation formula is \({}^{n}P_r=\frac{n!}{(n-r)!}\). Therefore, \({}^{6}P_{6}=\frac{6!}{(6-6)!}=\frac{6!}{0!}=6!=720\), since \(0!=1\). The option 120 is the value of \(5!\), so it is not correct. Exam tip: when \(r=n\), use \({}^{n}P_n=n!\) directly.क्रमचय का सूत्र \,\({}^{n}P_r=\frac{n!}{(n-r)!}\) है। अतः \,\({}^{6}P_{6}=\frac{6!}{(6-6)!}=\frac{6!}{0!}=6!=720\), क्योंकि \,\(0!=1\)। विकल्प 120, \,\(5!\) का मान है, इसलिए यह सही नहीं है। परीक्षा टिप: जब \,\(r=n\) हो, तब सीधे \,\({}^{n}P_n=n!\) लिखें।
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