Math, asked by madan7798, 10 months ago

In how many ways the letters of the word '"excellent"' can be arranged so that the vowels are always together?

Answers

Answered by sakshi1430
24

Total no of letter = 9

E is repeated 3 times

L is repeated 2 times

Total no if arrangement = 9!/3! × 2!

= 362880/ 12

= 30240

So there are 30240 ways are for the arrangement of word ' Excellent '

Answered by qwxavi
8

Given,

Word excellent

To find,

number of ways in which this word can be arranged

Solution,

total no. of letters = 9

L is repeated = 2 times

E is repeated = 3 time

but according to the question, if the vowel letter (3E) always comes together then 3E is considered as 1 letter

then the remaining total letter (n)= 6+1

the total arrangement in which 3E always comes together =7!/(2)

=2520 Ways

Thus, the number of ways in which the given word can be arranged keeping in mind the condition is 2520

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