Question

Find the number of ways of arranging the letters of the word TRIANGLE so that the relative positions of

the vowels and consonants are not disturbed​

Answer 1

Answer:

720

Step-by-step explanation:

Vowels :A,E,I,O,U

In the word "TRIANGLE"

⇒ Number of vowels =3

Number of constants =5

Since the relative positions of the vowels and consonants are not distributed. The 3 volumes can be arranged in their relative positions in 3! ways and the 5 consonants can be arranged in their relative positions in 5! ways.

∴ The number of required arrangements =(3!)(5!)=(6)(125)=720 ways.

Hence, the answer is 720.

Answer 2

We can arrange the letters of the word triangle so that the relative position of the vowels and consonants are not disturbed in 720 ways