For a set with elements

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For a set with

n

(n\ge 2)

elements, which of the following expressions equals the number of symmetric but not reflexive relations on the set? (a)

2^{\frac{n(n-1)}{2}+n}\; -\; 1

(b)

2^{\frac{n(n-1)}{2}+n}

(c)

2^{\frac{n(n-1)}{2}+n}\; -\; 2^{\frac{n(n-1)}{2}}

(d)

2^{\frac{n(n-1)}{2}+n}\; -\; 2^{n}