Question

if A ={a,b,c,} the total no. of the distinct relation in A×A is A) 3 B) 9 C) 8 D) 2raised 9​

Answer 1

Step-by-step explanation:

total number of relations are ..

${2}^{n}$

therefore total number of relations are. .

${2}^{3} = 8$

...

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Answer 2

Given,

A ={a,b,c,}

To Find,

The total number of the distinct relation in A×A =?

Solution,

From the formula of distinct relations, we have

The total number of relations = $2^n$

where n is the number of elements in the set

In this case, n = 3

Therefore,

The total number of the distinct relation in A×A = $2^3$

The total number of the distinct relation in A×A = 2*2*2

The total number of the distinct relation in A×A = 8

Hence, if A ={a,b,c,} the total no. of the distinct relation in A×A is 8. Option(c) is the correct answer.