Question

If A = { 1, 2, 3, 4} then number of symmetric relations possible on A is _____.

• A. 512
• B. 3096
• C. 2048
• D. 1024

Answer 1

The correct option is D 1024

If A is set with n element then number of symmetric relations possibe on A = $2^{n(n÷1)2}$
Putting n = 4
Required number of relations = $2^{\frac{4\times 5}{2}}=2^{10}=1024$