Question

If S = {2, 4, 8, 16, ..., 512}. If S is broken in 3 equal subsets A, B and C such that A∩B = B∩C = C∩A = φ and A∪B∪C = S then maximum number of ways to break is

• A. 9C3
• B. $\frac{9!}{(3!)3}$
• C. $\frac{9!}{(3!)4}$
• D. $\frac{9!}{(3!)^2}$

Answer 1

Answer: (B)

$\frac{9!}{(3!)3}$

Answer 2

The Correct answer is option is (B) : $\frac{9!}{(3!)3}$