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In a state lottery, a player must choose 8 of the numbers from 1 to 40....

In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers at random. A player has one ticket. What is the probability that the player has (a) all 8 of the number selected? (b) seven of the 8 numbers selected? (c) at least 6 of the 8 numbers selected?

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