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1. Let A = {1,2, 3,..., n}
(a) How many relations on A are both symmetric and anti-symmetric?
(b) If R is a relation on A that is anti-symmetric, what is the maximum number of ordered pairs that can be in R?
(c) How many anti-symmetric relations on A have the maximum size that you determined in part (b)?
2 of 10 =
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