In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choose one.
A) 14 ways
B) 61 ways
C) 71 ways
D) 31 ways
E) 30 ways
The word contains five consonants. Three vowels, three consonants can be selected from five consonants in ⁵C₃ ways, two vowels can be selected from three vowels in ³C₂ ways.   3 consonants and 2 vowels can be selected in ⁵C₂ . ³C₂ ways i.e., 10 * 3 =30 ways.   Answer: 30 ways
<result>E</result>
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?