Given below are two statements: Statement I: ( CH_3)_3 C is more stable than C H_3 as nine hyperconjugation interactions are possible in ( CH_3)_3 C.…

Given below are two statements: Statement I: $\displaystyle \left(\mathrm{CH}_3\right)_3 \stackrel{\oplus}{\mathrm{C}}$ is more stable than $\displaystyle \stackrel{\oplus}{\mathrm{C}} \mathrm{H}_3$ as nine hyperconjugation interactions are possible in $\displaystyle \left(\mathrm{CH}_3\right)_3 \stackrel{\oplus}{\mathrm{C}}$.Statement II: $\displaystyle \stackrel{\oplus}{\mathrm{C}} \mathrm{H}_3$ is less stable than $\displaystyle \left(\mathrm{CH}_3\right)_3 \stackrel{\oplus}{\mathrm{C}}$ as only three hyperconjugation interactions are possible in $\displaystyle \stackrel{\oplus}{\mathrm{C}} \mathrm{H}_3$.In the light of the above statements, choose the correct answer from the options given below