A bakery produces six different kinds of pastry, one of which is eclairs. Assume there are at least 20 pastries of each kind.
a) How many different selections of twenty pastries are there?
I was thinking combinations with repetition and order doesn't matter, so (n+r-1 r) but I'm not sure where n=120 and r=20?
b) How many different selections of twenty pastries are there if at least three must be eclairs?
(n+r-1 r) = (120+20-1 20) = (139 20) (20 3) ???
c) How many different selections of twenty pastries contain at most two eclairs?
(139 20) (20 2) ??

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