For which of the following cases are sets A a | vedclass

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(C) Two sets $A$ and $B$ are said to be equivalent if they have the same number of elements,i.e.,$n(A) = n(B)$.For option $A$: $n(A) = 26$ (letters in

Vedclass · Accepted Answer

$A=\{2, 4, 6\}, B=\{(2, 4), (4, 6), (2, 6)\}$

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(C) Two sets $A$ and $B$ are said to be equivalent if they have the same number of elements,i.e.,$n(A) = n(B)$.For option $A$: $n(A) = 26$ (letters in English alphabet) and $n(B) = 24$. Since $26 
eq 24$,they are not equivalent.For option $B$: $n(A) = 3$. Set $B$ is an infinite set as $n \in N$,so $n(B) = \infty$. They are not equivalent.For option $C$: $n(A) = 3$. Set $B$ contains ordered pairs,$n(B) = 3$. Since $n(A) = n(B) = 3$,sets $A$ and $B$ are equivalent.For option $D$: $n(A) = 4$ (for $n = 0, 1, 2, 3$) and $n(B) = 3$. Since $4 
eq 3$,they are not equivalent.Thus,the correct case is $C$.

For which of the following cases are sets $A$ and $B$ equivalent?

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