Determine the total number of stereoisomers p | vedclass

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(A) The given compound is $3$-vinyl-$4$-(but-$1$-enyl)cyclopent-$1$-ene.$1$. The molecule has $3$ double bonds that can exhibit geometrical isomerism

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$8$

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(A) The given compound is $3$-vinyl-$4$-(but-$1$-enyl)cyclopent-$1$-ene.$1$. The molecule has $3$ double bonds that can exhibit geometrical isomerism $(E/Z)$: one in the ring (though restricted by ring size,it is fixed as $Z$ in a $5$-membered ring),one in the vinyl group (no $E/Z$),and one in the butenyl group (can be $E$ or $Z$).$2$. The molecule has $2$ chiral centers at the positions where the substituents are attached to the cyclopentene ring.$3$. Let's analyze the stereogenic elements:- Chiral centers: $2$ $(n=2)$- Geometrical isomerism sites: $1$ (the butenyl chain double bond,$m=1$)$4$. Total stereoisomers = $2^{(n+m)} = 2^{(2+1)} = 2^3 = 8$.$5$. Thus,there are $8$ possible stereoisomers.

Determine the total number of stereoisomers possible for the following compound:
Structure: $A$ cyclopentene ring with a $-CH=CH-CH_2-CH_3$ group at position $1$ and a $-CH=CH_2$ group at position $2$.

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Determine the total number of stereoisomers possible for the following compound:Structure: $A$ cyclopentene ring with a $-CH=CH-CH_2-CH_3$ group at position $1$ and a $-CH=CH_2$ group at position $2$.