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(4) distinct couples are seated in a row. Each couple sits together and the husband always sits to the left of his wife. How many arrangements are possible?(4) अलग-अलग दंपतियों को पंक्ति में बैठाना है। हर दंपति साथ बैठे और पुरुष हमेशा अपनी पत्नी के बाएं बैठे, तो व्यवस्थाओं की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (24)(24)
Treat each couple as one block with fixed internal order, so only the (4!) blocks are arranged. Exam tip: do not multiply by (2!) when internal order is fixed.हर दंपति को निश्चित अंदरूनी क्रम वाला एक खंड मानें, इसलिए केवल (4!) खंडों को सजाना है। परीक्षा में internal order fixed हो तो (2!) न लगाएं।
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