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Common Letters

Three people (A, B, C) are each given two colors, for a total of six
colors (blue, green, orange, purple, red, and yellow.) In comparing
the colors they received, B makes the following observation:
"The number of common letters between my two colors is one less than
the number of A's common letters and one more than the number of
C's common letters."

Find the colors each person received. Is there more than one answer?

(For this discussion, dual letters are only counted once. For example,
*yellow* and *purple* have only two common letters: *e*
and *l*.)

Source: Original.

Solution

Mail to Ken