Let Ω={A,b,c,d} $| S | = 30$
(A) the Two Sets Are Disjoint

Essay

Let Ω={a,b,c,d}. Choose two distinct 2-element subsets at random from P(Ω), the set of all subsets of . Find the size of the sample space of this experiment. Describe the following events explicitly:Sample Space: Let denote the sample space, then $| S | = 30$ .
(a) The two sets are disjoint.
(b) The intersection of the sets is {a}.
(c) The complement of the union of the sets consists of only the element d.