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From (10) different photos, (3) photos are to be selected so that two particular photos do not both appear together. How many ways are there?(10) अलग-अलग फोटो में से (3) फोटो चुननी हैं जिनमें दो खास फोटो दोनों साथ न आएं। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (112)(112)
Total ways are (\binom{10}{3}=120), and ways with both particular photos are (\binom{8}{1}=8). Thus (120-8=112) ways.कुल (\binom{10}{3}=120) हैं और दोनों खास फोटो साथ हों तो (\binom{8}{1}=8) तरीके हैं। इसलिए (120-8=112) तरीके हैं।
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