Question

From each of the following sets make all possible ordered pairs,

(a) P= {x,y)
(b) X= {1, 2, 3)
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Answer 1

All possible ordered pairs are as follows:

• {(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}

Explanation:

In an ordered pair (x, y),

• x is called the first component

• y is called the second component.

Let

P = {x, y}

X = {1, 2, 3}

• The number of elements in the set P = n(P) = 2

• The number of elements in the set X = n(X) = 3

So, the number of possible ordered pairs = 2 × 3 = 6

Therefore, all possible ordered pairs are as follows:

• {(x, 1), (x, 2), (x, 3), (y, 1), (y, 2), (y, 3)}