Question

Which of the following pair of sets are equal sets?

$A=\left\{Anil,Suresh,Prem,Hari\right\}$

$B=\left\{Prem,Anil,Hari,Suresh\right\}$

Answer 1

Two sets are said to be equal, if they contains exactly same element.

Given pair of set:

$A=\left\{Anil,Suresh,Prem,Hari\right\}$ and $B=\left\{Prem,Anil,Hari,Suresh\right\}$

As we know in set order of element does not matter.

Both sets $A=\left\{Anil,Suresh,Prem,Hari\right\}$ and $B=\left\{Prem,Anil,Hari,Suresh\right\}$ contains exactly same number of elements with different order.

Hence, the given pair of sets $A=\left\{Anil,Suresh,Prem,Hari\right\}$ and $B=\left\{Prem,Anil,Hari,Suresh\right\}$ are equal sets.