six students of different heights are going to march in a single file in a parade carrying flags. the order in which they march is to be randomly selected. what is the probability that they will march in order of height from shortest to tallest.

can you please describe the steps taken to reach your answer.

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  1. There are six ways of choosing who goes first, then five for who goes next, etc.

    The number of possible arrangements is 6*5*4*3*2*1 = 6! = 720
    Only one of those arrangements is the one you want.

    The probability is therefore 1/720

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