Question

$A$ is set of letters of the word 'debit card'
$B$ is the set of letters of the word 'bad credit'.
Then which of the following options is/are correct ?

• A. $A$ and $B$ are equivalent sets
• B. $A$ and $B$ are unequal sets
• C. $A$ and $B$ are equal sets
• D. $n\left(A\right)=n\left(B\right)$

Answer 1

Answer: (A), (C), (D)

$n\left(A\right)=n\left(B\right)$

$A=\{a,b,c,d,e,i,t,r\};B=\{a,b,c,d,e,i,t,r\}$
$\therefore A=B\Rightarrow n\left(A\right)=n\left(B\right)$
$\Rightarrow A$ and $B$ are equal and equivalent sets.