In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Correct answer: D. 30
- A. 25
- B. 13
- C. 40
- D. 30
Explanation
TRIANGLE has 5 consonants, T, R, N, G and L, and 3 vowels, I, A and E. The number of selections is 5C3 x 3C2 = 10 x 3 = 30 ways. The likely trap is option c, 40, from treating the selection of consonants or vowels as ordered arrangements.
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