Mark the correct alternative in the following: The number of words that can be formed out of the letters of the word “ARTICLE” so that vowels occupy even places is

Question

Philoid · Accepted Answer

1 2 3 4 5 6 7

We have, 7 objects {A}, {R}, {T}, {I}, {C}, {L}, {E} and there are 3 vowels {A}, {E}, {I}; and the vowels should occupy even places i.e. 2, 4 and 6^th place.

Now, 3 vowels can be placed in 3 places in 3! ways.

And, the other alphabets i.e. the 4 consonants can be placed in 4 places in 4! ways.

So, the number of words that can be formed out of the letters of the word “ARTICLE” so that vowels occupy even places is

= 144.

Mark the correct alternative in the following:The number of words that can be formed out of the letters of the word “ARTICLE” so that vowels occupy even places is

Mark the correct alternative in the following:
The number of words that can be formed out of the letters of the word “ARTICLE” so that vowels occupy even places is