Pair the Equivalent Sets
| Set | Number of Elements |
|---|---|
| \[ A=\{1,2,3\} \] | 3 |
| \[ B=\{t,p,q,r,s\} \] | 5 |
| \[ C=\{\alpha,\beta,\gamma\} \] | 3 |
| \[ D=\{a,e,i,o,u\} \] | 5 |
Conclusion
Equivalent sets have the same number of elements.
Since \[ n(A)=n(C)=3, \] therefore \[ A \sim C \]
Also, \[ n(B)=n(D)=5, \] therefore \[ B \sim D \]
Hence,
\[ \boxed{A \sim C \quad \text{and} \quad B \sim D} \]