JEE Main2007MathematicsPermutation and CombinationActual
The set S= 1,2,3, , 12) is to be partitioned into three sets A, B, C of equal size. Thus, A B C=S, A B=B C=A C= . The number of ways to partition S is
Options
- A12 ! 3 !(4 !)^3
- B12 ! 3 !(3 !)^4
- C12 ! (4 !)^3
- D12 ! (3 !)^4
Correct answer
C. 12 ! (4 !)^3
Step-by-step solution
Number of ways is ¹² C ₄ ^8 C ₄ ^4 C ₄= 12 ! (4 !)^3 .