Elimination products from 3-bromo-3-methylhexane

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Cryptic89
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Hi,

I was doing a question on elimination reactions of haloalkanes. Could someone help me out?
The question: "3-Bromo-3methylhexane rapidly undergoes elimination when boiled with ethanolic potassium hydroxide. Write the structures of the FIVE alkenes which might be formed, & name them."

OK so the alkenes that I got are:
>3-methyl hex-3-ene
>3 methyl hex-2-ene

Now you could get geometric isomers of the above two which gives a further four possible products:

>Cis 3-methyl hex-3-ene
>Trans 3-methyl hex-3-ene
>Cis 3-methyl hex-2-ene
>Trans 3-methly hex-2-ene

Summing it all up, chances are that you get 6 possible products. Am I right? :rolleyes:
 
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Not really. Notice that cis and trans 3-methyl hex-3-ene are isomers of the same compund. So why do you count cis, trans and 3-methyl hex-3-ene?
Also, I think there is one more alkene you missed which is theoretically possible.