class 11

Math

Algebra

Permutations and Combinations

The set $S={1,2,3,,12)$is to be partitioned into three sets A, B, C of equal size. Thus, $A∪B∪C=S,A∩B=B∩C=A∩C=φ$. The number of ways to partition S is

- $3!(4!)_{3}12! $
- $3!(3!)_{4}12! $
- $(4!)_{3}12! $
- $(4!)_{4}12! $

**Correct Answer: ** Option(c)