y
. When a set is contained in another set, for instance, every element of set A is in
B, then set A is a subset of set B. Written asA SB.
Every set (A) is a subset of itself(A - A).
• An empty set is a subset of every set (A) (Ø 5 A).
• If in Set B there is at least one element not contained in Set A, it is referred to as
proper subset i.e. Set A is a proper subset of B: A C B.
• To get the total number of subsets use the formula,
total number of subsets = 2"
where n is the total number of elements in the given set.
EXAMPLES
Given:
A = {a,b,c}
Zero at a time
One at a time
Two at a time
Three at a time
O
{a} {b}{c}
{a,b}{a,c}{b,c}
{a,b,c}
Find the possible subset of se. A.
II. EXERCISES
Answer the following as indicated. (10 pts)
A. True or False. Write True if the statement is true, if not False.
1. Set R is the set of counting numbers from 7 to 12 is in a Roster Notation.
2. {g,v,t} <{V,0, i, g, h,t}
3. {}c Ở
B. List all possible subsets of ...
1. {1,2}
2. {a,e,i,o,u}​