12 - Power Set Video Lecture | Sets and Functions - JEE

consider a set a which has two elements
three and five let us ride all the
subsets of the set we know that empty
set is the subset of every set so empty
set is a subset of a as well also we see
that the set containing three is its
element and the set containing five as
its element are also the subsets of the
set a since every set is a subset of
itself so the set containing three and
five as its element is also the subset
of the set a thus the sub a has in all
four subsets the set of all these
subsets is called the power set of a
the collection of all subsets of a set M
is called the power set of M it is
donated by capital letter P with the
name of the set within parentheses
therefore we can represent the power set
of a like this in a power set every
element is a set also note that the
number of elements in the power set of a
are equal to 4 which is equal to 2
raised to the power number of elements
present in the set a
in general if the number of elements in
a set M is X then the number of elements
in the powerset of M is 2 raised to the
power x so this was about power set hope
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