Question

In how many ways letters of the word 'Education ' can be arranged such that all the consonants come together?​

Answer 1

all vowels are there A,E,I,O,U

cnsonant D,C,T,N

Answer 2

Answer:

Given : how many ways of arrangement so consonants are together

word : EDUCATION

consonants = 4 ( D,C,T,N )

vowels = 5 ( A,E,I,O,U )

answer :

consonants are together = 4! × 6!

! = 17280

explanation :

• 4 ! for the arrangement of each 4 consonants
• 6 ! for thw arrangement of 5 vowels + 1 group of 4 consonants

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