Question

Let { 1,2,3,4,5,6} , B: {3,4,5} then find the number of subsets of A (i)disjoint from B (ii) having exactly one element of B. (iii) having exactly two element of B (iv) subsets of A and subersets of B​

Answer 1

Answer:

41

Given, S={1,2,3,4}

Each element can be put in 3 ways either in subsets or we don't put in any subset.

Total number of unordered pairs of disjoint subsets,

=

2

3

n

+1

=

2

3

4

+1

=41