Question

In how many different ways can the letters of the word france be arranged so that vowels do not came together?

Answer 1

then remove that vowels.haa

Answer 2

Number of Different ways to arrange the letters of the word so that vowels do not  came together = 480

Explanation:

Given word : FRANCE

Total letters = 6

Total ways to arrange letters in word = $6!= 720$

Vowels = A E

Consonant =  FRNC

When vowels come together , we can count pair of A and E as 1 , then the total letters will be= 5

Number of Different ways to arrange the letters of the word so that vowels came together = $2\times5!=2\times120=240$

Now , Number of Different ways to arrange the letters of the word so that vowels do not  came together = 720-240= 480

∴ Number of Different ways to arrange the letters of the word so that vowels do not  came together is 480.

# Learn more :

In how many different ways can the letter of the word trainer be arranged so that the vowels always come together

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