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(4) couples are to be seated around a circular table so that each couple sits together. How many arrangements are possible?(4) जोड़ों को गोल मेज पर ऐसे बैठाना है कि प्रत्येक जोड़ा साथ बैठे। कितनी व्यवस्थाएं होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (384)(384)
Treat each couple as one block, so (4) blocks have ((4-1)!) circular arrangements and ((2!)^4) internal ways. The total is (96).हर जोड़े को एक ब्लॉक मानें, तो (4) ब्लॉकों की गोल व्यवस्था ((4-1)!) है और अंदर ((2!)^4) तरीके हैं। कुल (96) है।
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