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Number of Elements in a Cartesian Product

Given A = 5...

Question

Given $A = {5, 6, 7}$ and $B = {3, 4}$ . Form all possible ordered pairs and write the total number of ordered pairs formed so that the first component is from set A and second component is from set B.

What is the total number of such pairs?

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Solution

Possible ordered pairs with first component from Set $A$ and second from set $B$ are
$(5, 3), (5, 4), (6, 3), (6, 4), (7, 3), (7, 4)$ .
Hence, the total no. of ordered pairs formed is $6$ .

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