Question

what is the number of ways in which the letters of the word ABLE can be arranged so that the vowels occupy even places ​

Answer 1

Answer:

Answer

In word ARTICLE, there are 3 vowels and 4 consonants.

Total number of letters = 7

Total number of even place =3

There are 3 vowels to be filled in 3 places.

Hence, the number of ways = 3

C

3

=1

The vowels can arrange among themselves in 3!=6 ways.

Now, the 4 consonants can fill the remaining 4 places in 4!=24 ways.

Answer 2

Answer:

what is the number of ways in which the letters of the word ABLE can be arranged so that the vowels occupy even places