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It is asking for a probability. The denominator is easy, I think it

should be (n+p) choose m since we are looking for the number of ways

to choose the m specified seats from all seats.

I'm not sure what to write for the numerator, I was thinking n+p

choose m since that will give the different ways that the red seats

could be chosen, times (n+p)-m choose n-m which gives the choices that

the non-red seats could be chosen.

Any ideas would be very appreciated.