Download the app

Questions  

The set S={1,2,3,12} is to be partitioned into three sets A, B, C of equal size. Thus ABC=S, AB=BC=CA=ϕ The number of ways to partition S is

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
12!3!(4!)3
b
12!3!(3!)3
c
12!(4!)3
d
12!(3!)4

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is A

Each of the three sets A, B, C contains exactly  4elements.Thus, the number of ways of partitioning the set S is13! 12C4 8C4 4C4=13!12!4!8!×8!4!4!(1)=12!3!(4!)3


Similar Questions

The total number of ways of dividing mn distinct objects into n equal groups is


whats app icon
phone icon