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every week forty four dancers in a large troupe are divided into groups and each group is assigned to create a dance in one of

every week forty four dancers in a large troupe are divided into groups and each group is assigned to create a dance in one of the styles: electric boogaloo, jazz, Irish folk and fusion. In how many ways can the dancers be divided into four groups of eleven dancers and each group be assigned to a different dance style in a given week?

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