Question

let A=(1,2) and B=(3,4) write A×B. how many subset will A×B have? list them​

Answer 1

Answer:

Given, A={1,2} and B={3,4}.

Now,

A×B={(1,3),(1,4),(2,3),(2,4)}.

Since A×B contains 4 elements, so number of subsets of A×B is 2

4

=16.

Step-by-step explanation:

please follow me

Answer 2

Given:

• A = {1, 2} and B = {3, 4}

Solution

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

Number of elements in A × B ;

$\longrightarrow$ n(A × B)

$\longrightarrow$ 4

We know that,

• If C is a set with n(C) = m, then n[P(C)] = 2m.

Thus, the set A × B has 24 = 16 subsets.

And,

These subsets are as:

Φ, {(1, 3)}, {(1, 4)}, {(2, 3)}, {(2, 4)}, {(1, 3), (1, 4)}, {(1, 3), (2, 3)}, {(1, 3), (2, 4)}, {(1, 4), (2, 3)}, {(1, 4), (2, 4)}, {(2, 3), (2, 4)}, {(1, 3), (1, 4), (2, 3)}, {(1, 3), (1, 4), (2, 4)}, {(1, 3), (2, 3), (2, 4)}, {(1, 4), (2, 3), (2, 4)}, {(1, 3), (1, 4), (2, 3), (2, 4)} .