Question

find the power set of P(S) if S=(1,2,3,3,5)

Answer 1

p(s) = 2^4=16
like s= (1,2,3,3,5) = (1,2,3,5)
rest is yours

Answer 2

Answer:

P(S)={},{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5},{2,4,5},{3,4,5},{1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5},{1,2,3,4,5}

Step-by-step explanation:

Given :  S=(1,2,3,3,5)

To Find :find the power set of P(S)

Solution:

No. of elements in power set = $2^n$

n = 5

So,No. of elements in power set = $2^5=32$

S=(1,2,3,3,5)

P(S)={},{1},{2},{3},{4},{5},{1,2},{1,3},{1,4},{1,5},{2,3},{2,4},{2,5},{3,4},{3,5},{4,5},{1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5},{2,4,5},{3,4,5},{1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5},{1,2,3,4,5}

So, there are 32 elements in power set P(S)