Question

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.

Answer 1

Answer: 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}}

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
`2^n=2^4=16`

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}}