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Let A and B be two sets such that n(A) = 3 and n (B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements.

Let A and B be two sets such that n(A) = 3 and n (B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements.

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2 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,

Given

n(A)=3 and n(B)=2

Therefore, n(AxB) = n(A)

n(B)= 3 x 2 = 6

Now, if (x,1) (y,2), (z,1) are in A x B,

Therefore, A = {x, y, z} and B ={1, 2}

Thanks and Regards

Shaik Aasif

askIITians faculty

Rishi Sharma
askIITians Faculty 646 Points
2 years ago
Dear Student,
Please find below the solution to your problem.
Given

n(A)=3 and n(B)=2

Therefore, n(AxB) = n(A)

n(B)= 3 x 2 = 6

Now, if (x,1) (y,2), (z,1) are in A x B,

Therefore, A = {x, y, z} and B ={1, 2}

Thanks and Regards

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