Consider a tournament of n contestants in which the outcome is an ordering of these contestants, with
Question:
(a) List all the possible outcomes when n = 3.
(b) With N(0) defined to equal 1, argue, without any computations, that
How many outcomes are there in which i players tie for last place?
(c) Show that the formula of part (b) is equivalent to the following:
(d) Use the recursion to find N(3) and N(4).
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