Question

In how many ways can the letters of the word 'SEEDING' be arranged so that the vowels are always together?
Options :

​

Answer 1

in 360 Ways Letters of the word 'SEEDING' can be arranged so that the vowels are always together

Step-by-step explanation:

SEEDING

Vowels  - EEI   - 3

Consonants - SDNG - 4

vowels are always together

=> Considering 3 Vowels as 1

& 4 Consonants

hence in total 5

5 can be arranged in 5!  - 120 Ways

now Vowels  EEI   can be arranged  in 3!/2!   ( as E is repeated twice)

= 3 Ways    

( EEI , EIE , IEE)

Total number of Ways = 120 * 3

= 360

in 360 Ways Letters of the word 'SEEDING' can be arranged so that the vowels are always together

Learn more:

How many words, with or without meaning, each of 3 vowels and 2 ...

https://brainly.in/question/12554903

In how many ways the word CATHOLICS are arranged such that all ...

https://brainly.in/question/12312014

in how many ways can the letters of the word 'cinema' be arranged ...

https://brainly.in/question/12528704