typedef enum as subset of another enum

[Barry Friedman]

Excuse me if I am being an ignoramus but...

I want to create two enumerated types, one being a subset of the
other, something like this:

typedef enum { a, b, c, d, e } Set;  /* This defines the full set */
typedef enum { b, c, d } SubSet;     /* This is a subset of above */

I wasn't too surprised when my compiler choked on this. Is there a
way to do this in C? I have checked a few books and I haven't seen
anything that hints at a way to do it. Thanks in advance.
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