Question

The set S = {1, 2 , 3,...,12) is to be partitioned into three sets A , B and C of equal size.

Thus, A ∪ B ∪ C = S,

A ⋂ B = B ⋂ C = A ⋂ C = ϕ

The number of ways to partition S is

(a) 12!/3!(4!)³

(b) 12!/3!(3!)⁴

(c) 12!/(4!)³

(d) 12!/(3!)⁴

Comments

Understand this question using you tube

Answer 1

Correct option (c) 12!/(4!)³

Explanation:

Required number of ways