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What is the value of ({}^{5}P_{0}+{}^{5}P_{2})?({}^{5}P_{0}+{}^{5}P_{2}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2121
Using the permutation formula, \({}^{n}P_r=\frac{n!}{(n-r)!}\). Thus, \({}^{5}P_0=\frac{5!}{5!}=1\) and \({}^{5}P_2=\frac{5!}{3!}=5\times4=20\). Therefore, \({}^{5}P_0+{}^{5}P_2=1+20=21\). Option 20 is only the value of \({}^{5}P_2\), not the required sum. Exam tip: \({}^{n}P_0\) is always 1.क्रमचय का सूत्र
\({}^{n}P_r=\frac{n!}{(n-r)!}\) है। अतः \({}^{5}P_0=\frac{5!}{5!}=1\) और \({}^{5}P_2=\frac{5!}{3!}=5\times4=20\)। इसलिए \({}^{5}P_0+{}^{5}P_2=1+20=21\)। विकल्प 20 केवल \({}^{5}P_2\) का मान है, योग का नहीं। परीक्षा टिप: \({}^{n}P_0\) का मान हमेशा 1 होता है।
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