# 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 isA. 574B. 36C. 754D. 144

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 6th 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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Circular permutations61 mins
Challenging Quiz on P&C | Test Yourself55 mins
Permutations & Combinations | Analyze your learningFREE Class
Check Your progress Part 2| Interactive Quiz: Permutation & CombinationFREE Class
Understand Permutations like never before60 mins
Lecture on Combinations49 mins
Interactive Quiz on Division and distribution of objects17 mins
Interactive Quiz on Combinations-0253 mins
Interactive Quiz on Combinations50 mins
Division and distribution of objects58 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses