Question
Find the number of reflexive and antisymmetric binary relations on a set A of size n. (a) 2^(n(n+1)/2) (b) 2^(n(n1)/2) (c) 2^(n^2) (d) 2n 3^(n(n1)/2)
Find the number of reflexive and antisymmetric binary relations on a set A of size n.
(a) 2^(n(n+1)/2)
(b) 2^(n(n1)/2)
(c) 2^(n^2)
(d) 2n 3^(n(n1)/2)
(e) 2^n
(f) none of them
The answer is (f), but why and what is the equation in terms of n?
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
