Writing Systems of the World 8, Exercise 1: 11,172 syllables

From the Hangul article: 19 initial consonants, 21 vowels and 28 final
consonants (counting "no final") give 19 x 21 x 28 = 11,172 possible syllables.
Scholars estimate only about 2,000 see regular use.

Why so few are used (my reasoning, not the article's): the formula multiplies
every initial by every vowel by every final, but a language's sound patterns
rule out many combinations, so most blocks never form a real syllable of
Korean.

Why 11,172 is easy for a computer: the number is small, and the blocks are
laid out in one run, U+AC00 to U+D7A3. The Python example in the chapter
confirms that block holds exactly 11,172 code points, and a syllable's
position can be computed from its three letters.