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# How many stereoisomers can exist for cortisone?

Cortisone can be found on wikipedia. I've redrawn the structure below, with standard steroid numbering. Noting that ##sp^3## carbons are potential chiral centers, I've marked them.

Carbon-8: **S**
Carbon-9: **S**
Carbon-10: **R**
Carbon-13: **S**
Carbon-14: **S**
Carbon-17: **R**

So, we see **six stereocenters**. We also don't see any carbons that can allow any cis-trans geometric isomers. Finally, there is no plane of symmetry anywhere here. So, with that in mind, the number of **stereounits** (stereocenters + cis-trans centers) is still **six**.

The number of stereoisomers is known to be ##2^n - "meso structures"##, but since there is no plane of symmetry, it is just ##2^n##, where ##n## is the number of stereounits.

Thus, ##2^6 = color(blue)(64)## stereoisomers.