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From (10) distinct objects, (4) are to be arranged in a row, but at most one of two special objects may be selected. How many arrangements are possible?(10) अलग-अलग वस्तुओं में से (4) को पंक्ति में सजाना है, पर दो विशेष वस्तुओं में से अधिकतम एक चुनी जाए। कितनी व्यवस्थाएं होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2688)(2688)
Subtract unfavorable cases where both special objects are selected, (^{8}P_{2}\times{}^{4}P_{2}), from total (^{10}P_{4}). Exam tip: at most one means not both.दोनों विशेष वस्तुओं के चुने जाने वाले (^{8}P_{2}\times{}^{4}P_{2}) प्रतिकूल मामलों को कुल (^{10}P_{4}) से घटाएं। परीक्षा में अधिकतम एक का अर्थ दोनों साथ नहीं है।
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