1.

In How Many Ways Can Letter Of Word Corporation Can Be Arranged So That All Vowels Always Come Together?

Answer»

The word CORPORATION have 5 vowels which are 'O', 'O', 'A', 'I', 'O'. So grouping all vowels together, we can consider all the vowels as 1 letter

So it can be ARRANGED as CRPRTN(OOAIO)

It has 7 letter so can be arranged as !7 in which R is 2 times so

!7/!2

And again we can arrange all the vowels in !5/!3 ways

So total number of ways = (!7/!2)*(!5/!3) = 50400.

The word CORPORATION have 5 vowels which are 'O', 'O', 'A', 'I', 'O'. So grouping all vowels together, we can consider all the vowels as 1 letter

So it can be arranged as CRPRTN(OOAIO)

It has 7 letter so can be arranged as !7 in which R is 2 times so

!7/!2

And again we can arrange all the vowels in !5/!3 ways

So total number of ways = (!7/!2)*(!5/!3) = 50400.



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