Q10 of 64 Page 122

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

Formula:- (i)nPr


Given:-Total number of vowels letter =3, Total no of consonants letter =5



The vowels can be placed in


6P3


The number of way consonants can be arranged placed


=5! =120


Total number of ways it can be arranged


=5!×6P3=120×120


=14400


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