Chemistry - STEREO ISOMERISM Question with Solution | TestHub

The given compound is symmetrical with the condensed structure: CH₃–CH(Br)–CH(Cl)–CH(Cl)–CH(Br)–CH₃. It contains 4 chiral centers ($n=4$), which are the four carbons bonded to –Br and –Cl groups.

For a symmetrical molecule with an even number of chiral centers, the formula is:

$$TotalStereoisomers=2^{n-1}+2^{(n/2)-1}$$

Substituting $n=4$ into the formula gives:

$$2^{4-1}+2^{(4/2)-1}=2^3+2^1=8+2=10$$