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What is the value of ({}^{4}P_{4})?({}^{4}P_{4}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2424
The permutation formula is \({}^{n}P_r=\frac{n!}{(n-r)!}\). Thus, \({}^{4}P_4=\frac{4!}{(4-4)!}=\frac{24}{0!}=24\), since \(0!=1\). Therefore, 24 is the correct answer. A value such as 16 does not result from applying the permutation formula correctly. Exam tip: when \(r=n\), use \({}^{n}P_n=n!\) directly.क्रमचय का सूत्र \({}^{n}P_r=\frac{n!}{(n-r)!}\) है। अतः \({}^{4}P_4=\frac{4!}{(4-4)!}=\frac{24}{0!}=24\), क्योंकि \(0!=1\)। इसलिए 24 सही उत्तर है। 16 जैसे विकल्प क्रमचय सूत्र के सही प्रयोग से नहीं मिलता। परीक्षा टिप: जब \(r=n\) हो, तो सीधे \({}^{n}P_n=n!\) लिखें।
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