Question

From each of the following sets make all possible ordered pairs,
(a) P= {x,y)
(b) X= {1, 2, 3)
​

Answer 1

Answer:

All possible ordered pairs are as follows:

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

Step-by-step 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)}