Question

If set A has 4 elements and B has 3 elements then set n(AXB) is a) 12 b) 14 c) 24 d) 7

Answer 1

The correct option is a.

Explanation:

Given information:

Number of elements in set A = 4

Number of elements in set B = 3

We need to find n(A × B). It means we have to find the number of elements in set A × B.

If P and Q are two sets with elements m and n respectively, then the number of element in the set P × Q is m × n.

`n(A* B)=n(A)* n(B)`

`n(A* B)=4* 3`

`n(A* B)=12`

The value of n(A × B) is 12. Therefore the correct option is a.