If A and B be two sets such that A × B consists of 6 elements. If three elements of A × B are (1, 4), (2, 6) and (3, 6), find B × A.

Question

If A and B be two sets such that $A \times B$ consists of 6 elements. If three elements of $A \times B$ are (1, 4), (2, 6) and (3, 6), find $B \times A$ .

Smart Achievers · Accepted Answer

(2)

Since, (1, 4), (2, 6) and (3, 6) are the elements of A × B, therefore 1, 2, 3 are the elements of A and 4, 6 are the elements of B. Also, A × B has 6 elements.

$∴$ A = {1, 2, 3} and B = {4, 6}

$∴$ B × A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

Solution

Q.
If A and B be two sets such that $A \times B$ consists of 6 elements. If three elements of $A \times B$ are (1, 4), (2, 6) and (3, 6), find $B \times A$ .

1 {(1, 4), (1, 6), (2, 4), (2, 6), (3, 4), (3, 6)}

2 {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

3 {(4, 4), (6, 6)}

4 {(4, 1), (6, 2), (6, 3)}

Ans.
(2)

Since, (1, 4), (2, 6) and (3, 6) are the elements of A × B, therefore 1, 2, 3 are the elements of A and 4, 6 are the elements of B. Also, A × B has 6 elements.

$∴$ A = {1, 2, 3} and B = {4, 6}

$∴$ B × A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

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