Question

Let a set S={ 1 , 2 , 3 , 4 } . Now in how many ways subsets A , B and C can be selected from S such that
A ∪ B ∪ C = S?

Answer 1

Answer:

.e., each set of 4 elements

It is given that A∩B=B∩C=A∩C=ϕ

So, in each set all the elements are different.

So, the required number of ways =

12

C

4

×

8

C

4

×

4

C

4

=

(4!)

3

12!

Step-by-step explanation:

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