Advertisement Remove all ads

Write the Number of Ways in Which 5 Boys and 3 Girls Can Be Seated in a Row So that Each Girl is Between 2 Boys ? - Mathematics

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

Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?

Advertisement Remove all ads

Solution

B_B_B_B_B

Five boys can be arranged amongst themselves in 5! ways, at the places shown above.
The three girls are now to be arranged in the remaining four places taken three at a time = 4P3 = 4!
By fundamental principle of counting, total number of ways = 5! x 4! = 120 x 24= 2880

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

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 10 | Page 45

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×