For a = {a, b, c, d} fin p(a), the power set of a. (compare to example 0.3.3 0n p22) for a- (a, b, c, d) find p(a), the power set of a.

The required set is {∅, {a},{b},{c},{d},{a,b},{a,c},{b,c}{c,d},{b,d},{d,a},{a,b,c},{b,c,d},{a,c,d},{a,b,d},{a,b,c,d}}

Step-by-step explanation:

Since we have given that

A= { a,b,c,d}

So, n = 4

We need to find the power set of A.

Number of elements in power set of A is

So, the power set of A has 16 elements.

So, P(A) becomes {∅, {a},{b},{c},{d},{a,b},{a,c},{b,c}{c,d},{b,d},{d,a},{a,b,c},{b,c,d},{a,c,d},{a,b,d},{a,b,c,d}}

Hence, the required set is {∅, {a},{b},{c},{d},{a,b},{a,c},{b,c}{c,d},{b,d},{d,a},{a,b,c},{b,c,d},{a,c,d},{a,b,d},{a,b,c,d}}