The correct stability order for the following carbocations is:

Given below are two statements:
Statement $I$: $(CH_3)_3C^{+}$ is more stable than $CH_3^{+}$ as nine hyperconjugation interactions are possible in $(CH_3)_3C^{+}$.
Statement $II$: $CH_3^{+}$ is less stable than $(CH_3)_3C^{+}$ as only three hyperconjugation interactions are possible in $CH_3^{+}$.
In the light of the above statements, choose the correct answer from the options given below.

What is the order of stability of the following carbocations?
$(X). CH_3 - \overset{\oplus}{C}H - CH_3$
$(Y). CH_3 - \overset{\oplus}{C}H - OCH_3$
$(Z). CH_3 - \overset{\oplus}{C}H - COCH_3$

What is the correct order of stability for the given carbocations?
$(i) \ CH_3^+ \quad (ii) \ CH_3CH_2^+ \quad (iii) \ CH_3OCH_2^+$

Which of the following compounds gives the most stable carbocation upon dehydrogenation?

Which of the following carbocations will not undergo rearrangement?