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In: Advanced Math

There are 8 Broadway musicals and they offer a special three-night package (Friday, Saturday, Sunday nights)...

There are 8 Broadway musicals and they offer a special three-night package (Friday, Saturday, Sunday nights) where one can order one ticket that is good for three different musicals on successive nights (a sequence of three different musicals). A travel agent is going to order 30 of these tickets for a tour group of 30 people. How many ways are there to order a subset of 30 such tickets with the constraint that each of the 8 musicals appears on at least one ticket?

the answer is Test A: C(P(8,3),30) C(8,1)xC(P(7,3),30) + C(8,2)xC(P(6,3),30) .. i don't understand this answer what does it mean by C(P(8,3), 30)??

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