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This problem trains for: SAT-I, AMC-8, GMAT, AMC-10.

How many elements are in the union of the set of the letters in the word APPALACHIAN and the set of the letters in the word LEPORELLO?

(Leporello is the name of Don Giovanni's manservant in Mozart's "Don Giovanni." "Appalachian Spring" is a ballet by Aaron Copland)

The set of the letters in APPALACHIAN is:

equation

The set of the letters in LEPORELLO is:

equation

The union is:

equation

There are 10 elements in the union set.

The cardinality of the union is equal to 10.