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ten cards are numbered 1 to 10. The cards are shuffled thoroughly and placed in a stack. What is
the probability that the numbers on the top three cards are in ascending order?
Solution
There are 3! = 6 ways to put the top three cards in order and only one of these is
ascending, so the probability is 1/6.

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ten cards are numbered 1 to 10. The cards are shuffled thoroughly an.pdf

  • 1. ten cards are numbered 1 to 10. The cards are shuffled thoroughly and placed in a stack. What is the probability that the numbers on the top three cards are in ascending order? Solution There are 3! = 6 ways to put the top three cards in order and only one of these is ascending, so the probability is 1/6.