Class 11

Math

Co-ordinate Geometry

Straight Lines

The number of words that can be formed out of the letters of the word "ARTICLE" so that the vowels occupy even places is

- $574$
- $36$
- $754$
- $144$

The vowels can be arranged in the even place in $3!$ places and the rest can be arranged in $4!$

$∴$ Required number of ways $3!×4!=144$