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From (10) distinct objects, (4) are to be arranged in a row, but two particular objects must either both be selected or both not be selected. How many arrangements are possible?(10) अलग-अलग वस्तुओं में से (4) को एक पंक्ति में सजाना है, लेकिन दो विशेष वस्तुएँ दोनों एक साथ चुनी जाएँ या दोनों न चुनी जाएँ। कुल क्रम कितने हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4368)(4368)
If both are selected, count (8C2\cdot4!); if both are not selected, count (8C4\cdot4!). Split such problems into cases and add.दोनों चुने जाने पर (8C2\cdot4!) और दोनों न चुने जाने पर (8C4\cdot4!) मिलते हैं। ऐसे प्रश्नों में cases अलग करके जोड़ें।
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