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Math Help - Choosing Random Integer

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    Choosing Random Integer

    Each of four students chooses at random one integer from 1 to 10 inclusive. What is the probability that at least 2 of them choose the same integer?

    Please help!
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    Quote Originally Posted by sweeetcaroline View Post
    Each of four students chooses at random one integer from 1 to 10 inclusive. What is the probability that at least 2 of them choose the same integer?
    Do you understand that there are 10^4 ways to choose the integers?

    Let's find the number of ways that no two of the same integers are chosen.
    That number is 10\cdot 9\cdot 8\cdot 7. WHY?

    Then what is the number in which at least two of the same are chosen?
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