The set S = {1, 2, 3, ……., 12} is to be partitioned into three sets A, B, C of equal sie. Thus A È B È C = S, ABBC AC Ç = Ç = Ç =f. The number of ways to partition S is

Question:
The set $S=\{1,2,3, \ldots \ldots, 12\}$ is to be partitioned into three sets $A, B, C$ of equal size.

Thus $A \cup B \cup C=S, A \cap B=B \cap C=A \cap C=\phi$. The number of ways to partition $S$ is

$\frac{12 !}{(4 !)^{3}}$
$\frac{12 !}{(4 !)^{4}}$
$\frac{12 !}{3 !(4 !)^{3}}$
$\frac{12 !}{3 !(4 !)^{4}}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Permutations And Combinations chapter.

JEE Main Previous Year 2007

Solution:

Leave a Reply Cancel reply