First slide

Relations XII

Question

Let $A = {a, a_{2}, a_{3}, a_{4}}$ be a set . The number of symmetric relations that can be defined on A is

Moderate

Solution

Number of symmetric relations on A is $= 2^{n (n + 1) / 2} = 2^{\frac{4 (5)}{2}} = 2^{10} = 1024$

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