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A group of X families, each with Y members are to be lined

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A group of X families, each with Y members are to be lined [#permalink] New post 10 Dec 2005, 20:45
A group of X families, each with Y members are to be lined up in a single row for a photo. How many ways can the people be arranged if each family member must be kept together?
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 [#permalink] New post 10 Dec 2005, 21:20
X families can be lined up in X! ways.
within each family, Y members can be rearranged in Y! ways
therefore for X families members can be arranged in Y!^x ways

total arrangements: X! * Y!^X
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  [#permalink] 10 Dec 2005, 21:20
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A group of X families, each with Y members are to be lined

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