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Some boys come into a room and sit in a circle. Four girls come in and arrange themselves between 2 of the boys. That is,

Some boys come into a room and sit in a circle. Four girls come in and arrange themselves between 2 of the boys. That is, the 4 girls join the circle, but sit all together. If there are 2880 different circles that could be formed in this way, how many boys are there?

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