In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choices:
A) 76 ways  B) 30 ways  C) 16 ways  D) 15 ways  E) 19 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>B</result>
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?