Question

1. Write down the power set of the following sets: (3*1=3)

(i) D={p, q, r, s }

2. If n(A) = 4, find n[p(A)] (3*1=3)

3. Id n[p(A)] = 256, find n(A) (4*1=4)​

Answer 1

Answer:

Step-by-step explanation:

Set :- A collection of well defined objects. A set may have infinite or finite objects .Every object is called element of the set.

Subset :- It is the set of few or all elements of a set.

Power set :- It is the set of all subsets of the set including itself and the empty set.

Power set is the set of all possible sets.

D = { p, q, r, s }

P ( D) = { p, q, r, s, ( p, q) , ( q, r) , ( r, s) , ( s, p) , ( p , r) , ( q, s) , ( p, q, r) , ( q, r, s) , ( p, r, s) , ( p, q, s) , ( p, q, r, s), Ø }

The number of elements in set n ( D) = 4

Number of elements in power set n(P ( D) ) =2 power n{d}

Therefore, Number of elements in power set = 2^4 = 16 .