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(6) distinct books are to be arranged on a shelf, but two particular books must occupy the two ends. How many arrangements are possible?(6) अलग-अलग किताबों को एक शेल्फ पर रखना है, पर दो विशेष किताबें दोनों सिरों पर हों। कितनी व्यवस्थाएं संभव हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (48)(48)
The two particular books occupy the ends in (2!) ways and the remaining books in (4!) ways. The total is (2!\cdot4!=48).दो विशेष किताबें सिरों पर (2!) तरीकों से और बाकी (4!) तरीकों से रखी जाएंगी। कुल (2!\cdot4!=48) है।
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