Question

let a={1,2} and b={3,4} how many subsets will axb have . list them

Answer 1

16 Subsets

Given:

A = {1,2}

B = {3,4}

To Find:

No of subsets A x B have

Calculating:

(A x B)

= {(1,3), (1,4), (2,3), (2,4)}

Number of elements that are present in (A x B) (n)

= 4 Elements

Formula used to calculate the number of subsets:

A x B = 2^n

Putting the value we obtained for n in this formula we get:

A x B = 2^4

A x B = 2 x 2 x 2 x 2

A x B = 4 x 4

A x B = 16

Hence, this set  (A x B) contains 16 Subsets in total.