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To do this you would use a ! function in your calculator. In short this takes any number and multiplies it by all the number beneath it. In this case it would say 5 x 4 x 3 x 2 x 1. You arrange it this way because they're are five different people in spot on, but once spot one is taken there are only 4 people left for spot two and so on. So, the answer to this would be 120 different combinations.
The reasoning is the following: To select the first student, you have 5 options. For the second, whichever you chose for the first student, you have 4 options... etc.
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