Discussion
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Answer: D
TRIANGLE has consonants T, R, N, G, L and vowels I, A, E.
\[ {}^{5}C_{3} \times {}^{3}C_{2} = 10 \times 3 = 30 \]
Only the selection is asked for, not the arrangement, so combinations apply; arranging the five chosen letters would multiply this by \( 5! \).
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