If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B)

Solution:

It is given that set A has 3 elements and the set B = {3, 4, 5}

Number of elements in set A, n (A) = 3

Number of elements in set B, n (B) = 3

Number of elements in set A, n (A) = 3

Number of elements in set B, n (B) = 3

Number of elements in (A x B) = (Number of elements in A)´(Number of elements in B)

n (A x B) = n (A) x n (B)

= 3 x 3

= 9

Thus, the number of elements in ( A x B) is 9.

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.1 Question 2

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B)

Summary:

A set A has 3 elements and the set B ={3, 4,5} is given. We have found that the number of elements in (A × B) is 9