Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In how many ways can the letters of the word PERMUTATIONS be arranged if the, vowels are all together?

Q.11.    In how many ways can the letters of the word PERMUTATIONS be arranged if the

           (ii) vowels are all together?

Answers (1)

best_answer

There are 5 vowels in word PERMUTATIONS  and each appears once.

Since all 5 vowels are to occur together so can be treated as 1 object.

The single object with the remaining 7 objects will be 8 objects.

The 8 objects in which 2 T's repeat can be arranged as 

                                                                                         =\frac{8!}{2!} ways.

These 5 vowels can also be arranged in 5! ways.

Hence, using the multiplication principle, the required number of arrangements are 

                                                                                                                                 =\frac{8!}{2!}\times 5!=2419200   ways.

 

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE board exams 2025 from February 15; Class 10, 12 subject-wise marks distribution
anam-khan

CBSE Date Sheet 2025: Class 10, 12 board exam dates soon on cbse.gov.in; previous trends, sample papers
anam-khan

CBSE Board Exams 2025: 75% attendance must for students to be eligible, reiterates board

Latest Question