In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

Permutations and Combinations 13/08/2021

A. 25
B. 13
C. 40
D. 30

Explanation:

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.

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