Question

What must be true of the finite sets A and B if n(A u B) = n(A) + n(B)?A. n(A) = n(B)B. A ∩ B = ØC, A = BD. A ~ B

Answer 1

Step-by-step explanation

Finite set: A set is said to be a finite set if it is either a void set or the process of counting elements surely comes to an end is called a finite set.

For a universal set

`n(A\text{ u B\rparen = n\lparen A\rparen +n \lparen B\rparen +n \lparen A n B\rparen}`

Thus, if we have

`n\left(AuB\right)=n\left(A\right)+n\left(B\right)`

Then it means that

`A∩B=Ø`

Hence, option B is correct