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(8) distinct cars are parked in (10) parking spots. If two special cars must not be in adjacent spots, how many ways are possible?(8) अलग-अलग कारों को (10) पार्किंग स्थानों में लगाना है। दो विशेष कारें adjacent स्थानों में न लगें, तो कितने तरीके होंगे?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1451520)(1451520)
Subtract adjacent-special-car cases (9\times2!\times{}^{8}P_{6}) from total (^{10}P_{8}). Exam tip: when parking spots are distinct, start from total arrangements.कुल (^{10}P_{8}) से special cars adjacent वाली (9\times2!\times{}^{8}P_{6}) व्यवस्थाएं घटाएं। परीक्षा में parking spots distinct हों तो पहले कुल arrangements लें।
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