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(9) distinct objects are to be arranged in a row. Three particular objects must stay together but their internal order is fixed. How many arrangements are possible?(9) अलग-अलग वस्तुओं को पंक्ति में व्यवस्थित करना है। तीन विशेष वस्तुएं आपस में साथ रहें लेकिन उनका आंतरिक क्रम निश्चित हो। कितनी व्यवस्थाएं होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (5040)(5040)
Treat the three objects as a fixed-order block, giving (7) units. Hence there are (7!=5040) arrangements.तीन वस्तुओं को fixed-order ब्लॉक मानें, तब (7) इकाइयां बनती हैं। इसलिए (7!=5040) व्यवस्थाएं होंगी।
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