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It can be solved using fundamental counting principle. The first scoop has 20 possibilities and the second has 19 (since different). But we need to eliminate duplicates in this because of ordering. Example: S1=Strawberry, S2=Chocolate or S1=Chocolate, S2=Strawberry are the same. 20*19/2=190. So answer choice B.
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Bunuel
At a certain ice cream shop, a sundae contains two different scoops of ice cream. If the shop sells 20 varieties of ice cream, how many different sundaes are possible?

A. 40
B. 190
C. 200
D. 380
E. 400


The number of possible sundaes is 20C2 = 20!/(2! x 18!) = (20 x 19)/2! = 10 x 19 = 190.

Answer: B
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