Advertisement Remove all ads

The Number of Ways in Which the Letters of the Word Article Can Be Arranged So that Even Places Are Always Occupied by Consonants Is, 576 , 4c3 × 4!, 2 × 4! , None of These. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ

The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is

Options

  • 576

  • 4C3 × 4!

  • 2 × 4!

  • none of these.

Advertisement Remove all ads

Solution

576

There are 3 even places in the 7 letter word ARTICLE.
So, we have to arrange 4 consonants in these 3 places in 4P3 ways.
And the remaining 4 letters can be arranged among themselves in 4! ways.
∴ Total number of ways of arrangement  = 4Px 4! = 4! x 4! = 576

Concept: Permutations
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 21 | Page 47

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×