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categoryرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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(a) Let r be a positive integer. Determine a formula for the number of ways to create a sequence (an ordered list) of r numbers from B {1,2,3,...,200000} when repetitions are allowed. == (b) Let r be a positive integer. Determine a formula for the number of ways to create a sequence (an ordered list) of r numbers from B {1, 2, 3,..., 200000} when repetitions are not allowed. (c) Let r be a positive integer. Determine a formula for the probability, p(r), that h yields a collision. [Hint: Calculate first the complement of this event using (a) and (b) above!]

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