Question

Without changing the relative positions of consonants and vowels, how many words can be
created using the alphabets of the word SUMALASIMRA ?​

Answer 1

Answer:

11 Letters, 5V(3A,1I,1U),6C(2P,2T,1L,1R)

∴ Total number =

3!

5!

×

2!2!

6!

=20×180=3600

Answer 2

Answer:

Step-by-step explanation:

In the word SUMALASIMRA, there are Five Vowels (U,A,A,I and A) and six Consonants (S,M,L,S,M and R)  

We need to find the different arrangements of the word  SUMALASIMRA such that relative positions of Vowels and Consonants do not change.

Therefore, in the Five vowels, we can rearrange the vowels in   5! / 3!

=5 ways

And, six consonants can be rearranged in six spaces occupied by consonants in  6 ! ways  = 42 ways

The required number of arrangements are

=6× 42=252 ways