Q19 of 31 Page 7

Find the number of different words that can be formed from the letters of the word ‘TRIANGLE’ so that no vowels are together.

The word TRIANGLE has three vowels i.e. I, A,E and five consonants i.e. T,R,N,G,L.



In the figure × represent the positions vowels can take.


As there are 3 vowels for 6 places.


These can be arranged in 6P3 ways.


Now five consonants can be arranged in 5! Ways.


So, total number ways = 5! × 6P3





= 14400 ways


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