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The boys can fill 5 of the 8 places in 336 different ways, the girls can take the remaining places in 6 different ways, so there are 336 x 6 possible lines, ie 2016 ways. This assumes that the actual order of the boys matters, ie Arthur/Bill/Chuck/Danny/Eddie/Girl/Girl/Girl is not regarded as the same as Bill/Arthur/Chuck/DannyEddie/Girl/Girl/Girl. If the order is simply of the form B/B/B/B/B/G/G/G then there are only 56 different ways.

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Q: In how many ways can 5 boys and 3 girls stand in a straight line?
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