Question

If set a and b have 3 and 4 elements respectively then the number of subsets of set (a x b) is

Answer 1

289 《678=576》95677=4 <056

Answer 2

Answer:

The number of subsets of the set A×B = 4096

Step-by-step explanation:

Given,

No. of elements in set A = 3

No. of elements in ser B = 4

To find,

The number of subsets of A×B

Recall the formula

If the number of elements in the set A is 'm' and the number of elements in the set B is 'n', Then the number of elements in the set   A×B is given by

n(A×B) = n(A) ×n(B)

The number of subsets of A×B = $2^{mXn}$

Solution:

Since n(A) = 3 and n(B) = 4

n(A×B) = n(A) ×n(B) =3 ×4 = 12

Hence number of subsets of A×B = $2^{12}$ = 4096.

∴ The number of subsets of the set A×B = 4096

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