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(8) people are assigned (8) distinct jobs. If exactly (2) people get their correct jobs, how many assignments are possible?(8) व्यक्तियों को (8) अलग कार्य दिए जाते हैं। यदि ठीक (2) व्यक्तियों को अपना सही कार्य मिले, तो कितने वितरण संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (7420)(7420)
Choose the (2) correctly assigned people in (^{8}C_2) ways and derange the remaining (6) with (D_6=265). Exactly (2) correct means all others are wrong.सही कार्य पाने वाले (^{8}C_2) तरीकों से चुनें और बाकी (6) का विस्थापन (D_6=265) है। ठीक (2) सही का मतलब बाकी सभी गलत होंगे।
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