Question

Let $A,B$ are two sets such that $n\left(A\right)=6,n\left(B\right)=8$ then the maximum number of elements in $n(A\cup B)$ is _________

• A. $7$
• B. $9$
• C. $14$
• D. $None$

Answer 1

The correct option is C $14$

$n\left(A\right)=6,n\left(B\right)=8$

$n(A\cup B)$ will be maximum when $A$ & $B$ are disjoint sets.

$A\cap B=\varphi n(A\cap B)=0n(A\cup B)=n\left(A\right)+n\left(B\right)-n(A\cap B)=6+8-0=14n(A\cup B)=14$