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Calculate the number of ways in which three girls and four boys can be seated on a row of seven chairs if each is to be symmetrical.
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because there are an odd number of girls, they must sit in the middle 3 chairs to be symmetrical. the boys sit in the other 4 chairs. There are 3! = 6 ways to arrange the girls and 4! = 24 ways to arrange the boys 6*24=144
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