Question

If set X contains m elements and Y contains n elements ,Then X×Y contains ……………elements

Answer 1

Answer:

No of elements in set A=m

No of elements in set B=n

So, no of elements in A×B =m×n

Note: A×B is not equal to B×A only in case A=B they are equal.

Answer 2

If set X contains m elements and Y contains n elements , then X × Y contains mn elements

Given :

The set X contains m elements and Y contains n elements

To find :

The number of elements in X × Y

Solution :

Step 1 of 2 :

Define cartesian product of two sets

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

Step 2 of 2 :

Find number of elements in X × Y

Here it is given that set X contains m elements and Y contains n elements

∴ n(X) = m and n(Y) = n

The number of elements in X × Y

= n(X × Y)

= n(X) × n(Y)

= m × n

= mn

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ write the following sets in roster form N={x:x is odd number, 21<x<35,XEN

https://brainly.in/question/24185793

2. If A and B are two sets then A-B =B-A if

https://brainly.in/question/28848928