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Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together.
Answers (1)
Consonants in TRIANGLE are T, R, N, G, L . Vowels are I, A, E
Five consonants can be arranged in 5! ways XCXCXCXCXCX
Arrangements of consonants as C above creates 6 gaps marked as X
Now, 3 vowels can be arranged in any three of these 6 gaps in ways
So, total number of arrangements=
View full answer
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