Given a FSM representation $($S$)$ and a queuing$-$theoretic representation Q$($S$)$ of a discrete event system S$,$ the mapping possible between $($S$)$ and Q$($S$)$ is:

i$)$ One can obtain Q$($S$)$ from $($S$)$ but not vice versa;

ii$)$ One can obtain $($S$)$ from Q$($S$)$ but not vice versa;

iii$)($S$)$ and Q$($S$)$ are orthogonal to each other;

iv$)($S$)$ and Q$($S$)$ are isomorphic $($i$.$e$.,$ one can be obtained from the other$).$

Give the truth or otherwise of the following statements $($along with a brief explanation$)$