Harry, Ron and Neville are having a race on their broomsticks. If there are no ties, in how many different possible orders can they finish?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
We list all of the possible orders of finish, using $\mathrm{H}, \mathrm{R}$ and $\mathrm{N}$ to stand for Harry, Ron and Neville. The possible orders are HNR, HRN, NHR, NRH, RHN, RNH.

(It is easiest to list the orders in alphabetical order to better keep track of them.) There are 6 possible orders.

ANSWER: (B)

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