How many relations are there on a set with n elements that are symmetric and a set with n elements that are reflexive and symmetric?
A. 2n(n+1)/2 and 2n.3n(n–1)/2
B. 3n(n–1)/2 and 2n(n–1)
C. 2n(n+1)/2 and 3n(n–1)/2
D. 2n(n+1)/2 and 2n(n–1)/2
Answer:D
How many relations are there on a set with n elements that are symmetric and a set with n elements that are reflexive and symmetric?
A. 2n(n+1)/2 and 2n.3n(n–1)/2 B. 3n(n–1)/2 and 2n(n–1) C. 2n(n+1)/2 and 3n(n–1)/2 D. 2n(n+1)/2 and 2n(n–1)/2