# math

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.

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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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