How many different parade orders can be made


You have been named manager of funny car segment of year's civic parade. The job is to place 7funny cars in parade order. This is more demanding than it looks as you have 6 antique funny cars and 5 modern funny cars to select from (this means that four of the cars will not make into parade). If parade chairman decrees that there must be at least 2 antique and at least 2 modern funny cars in parade, how many different parade orders can you make? Suppose that all funny cars are evident from each other, which is sort of their point.

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Mathematics: How many different parade orders can be made
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