Select two of different types from 5 pieces of regular script, 3 pieces of official script, and 2 pieces of cursive calligraphy. ***There are ______ different selection methods

One piece of regular script and one piece of official script: C51×C31=15 (species);

One piece of regular script and one piece of cursive script: C51×C21=10 (species);

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One piece of cursive script and one piece of official script: C21×C31=6 (kinds);

So there are 15+16=31 (kinds).

So the answer is: 31.