Question

If X={a,b,c} and Y ={1,2,3} then find X x X and X x Y.

Answer 1

Answer:

X x X=(a, a) (a, b), (a, c)(b, a) (b, b) (b, c) (c, a) (c, b)(c, c)

X x Y = (a, 1)(a, 2)(a, 3)(b, 1)(b, 2)(b, 3)(c,1)(c, 2)(c, 3)

Answer 2

the value of $X \times X \ is \ \{a,a\},\{a,b\},\{a,c\},\{b,a\},\{b.b\},\{b,c\},\{c,a\},\{c,b\},\{c,c\}.$

and $X \times Y \ is \ \{a,1\},\{a,2\},\{a,3\},\{b,1\},\{b.2\},\{b,3\},\{c,1\},\{c,2\},\{c,3\}.$

Step-by-step explanation:

Given:

$X= \{a,b,c\} \ and \ Y =\{1,2,3\}$.

To Find:

The value of $X \times X$ and and $X \times Y$.

Solution:

As given,$X= \{a,b,c\} \ and \ Y =\{1,2,3\}$.

$X \times X=\{a,b,c\}\times\{a,b,c\}=\{a,a\},\{a,b\},\{a,c\},\{b,a\},\{b.b\},\{b,c\},\{c,a\},\{c,b\},\{c,c\}.$

$X \times Y=\{a,b,c\}\times\{1,2,3\}=\{a,1\},\{a,2\},\{a,3\},\{b,1\},\{b.2\},\{b,3\},\{c,1\},\{c,2\},\{c,3\}.$

Thus, the value of $X \times X \ is \ \{a,a\},\{a,b\},\{a,c\},\{b,a\},\{b.b\},\{b,c\},\{c,a\},\{c,b\},\{c,c\}.$

and $X \times Y \ is \ \{a,1\},\{a,2\},\{a,3\},\{b,1\},\{b.2\},\{b,3\},\{c,1\},\{c,2\},\{c,3\}.$

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