In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?
Options:
A . 25
B . 13
C . 40
D . 30
Answer: Option D 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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