Question

If A= { 1,2,3} & B= { 4,5,6} then , n(AxB) is equal to

Answer 1

Answer:

The answer is 9

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Answer 2

Answer:

n(A X B) = 9

Step-by-step explanation:

Given,

A= { 1,2,3} & B= { 4,5,6}

To find,

n(AxB)

Recall the formula

A and B are two sets, then the cartesian product of the two sets A and B is given by

A X B = {(a,b), a∈A and b∈B}

Also, n(A X B) = n(A) ×n(B)

Solution:

We have,

A= { 1,2,3} & B= { 4,5,6}

n(A) = 3 and n(B) = 3

Since n(A X B) = n(A) ×n(B), we have

n(A X B) = 3×3 = 9

∴n(A X B) = 9

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