W Power Set
The set of all subsets of a set A is called the power set denoted by /4)
umple,
Erlend
10.8.2
10.It A=(2,3), then find the power set of
em
The subsets of A are 0,123,12.3).
The power set of
P(A) = 10.121.31.12.311
(H) If A = 10.101], then the power set of A is 0.10, 101.10.10
Important property.
We already noted that n(A) = n(PA). But how big is P(A) ? Think about this a bit, and
er sul whether you come to the following conclusion:
(i) If n(A) = m, then n[P(A)] = 20
(i) The number of proper subsets of a set A is n[PAI-1 -2
30
Example 1.9
Find the number of subsets and the number of proper subsets of a se
b,x, y, z).
ution Given X=fa, b, c, x, y, z). Then, n(X) -6
The number of subsets = n P(x)] = 20
Every set has only
The number of proper subsets = n(PX)]-I = 29-1
one improper subse
Verify this fact using
Exercise 1.2
Find the cardinal number of the following sets.
v = * = 3n+2, ne Wandx< 15)
=: . and 2 <=55
san stegers, we Zandssic
$ = The set of all leap years between tai and 1906.
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question was unproper..... rewrite plz
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