Combinatorics

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Bob is at an amusement park with 10 different rides. He only has time to go on 3 rides, before he needs to head back for his curfew. If he only wants to go on each ride a maximum of one time, how many different ways are there to go on 3 rides?

  • Combinatorics -

    he has 10 choices for the first ride.
    Having ridden that one, there are only 9 choices for the 2nd ride, and so on.

    Taking 3 rides, he has 10*9*8 = 720 ways to pick 'em.

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