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(5) couples are to be seated in a row so that each couple sits together. How many arrangements are possible?(5) जोड़ों को एक पंक्ति में ऐसे बैठाना है कि प्रत्येक जोड़ा साथ बैठे। कितनी व्यवस्थाएं होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3840)(3840)
Treat each couple as one block, giving (5!) block arrangements and (2!) ways inside each block. The total is (5!\cdot(2!)^5=3840).हर जोड़े को एक ब्लॉक मानें, तो (5!) ब्लॉक व्यवस्थाएं और प्रत्येक ब्लॉक में (2!) तरीके हैं। कुल (5!\cdot(2!)^5=3840) है।
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