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first you have to keep in mind that probability is # of favorable outcomes/ # of possible outcomes. we already know (given that no two students are the same height) that there is only 1 possible way to order the students from shortest to tallest therefore, we have established that we have 1/# of possible outcomes. to find the number of possible outcomes you take 8 factorial. 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320. now you have the # of favorable over # of possible = 1/40320 = .0000248015873 = 2.48015873 E-5.

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Q: A class has 8 students who are to be assigned seating by a lot What is the probability that the students will be arranged in order shortest to tallest assume that no two students are the same height?
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