Advertisements
Advertisements
Question
Find the number of subsets and the number of proper subsets of the following set
W = {red, blue, yellow}
Solution
W = {red, blue, yellow}
n(W) = 3
The number of subsets of W
= n[P(W)]
= 2m
= 23
= 8
Number of proper subsets of W
= n[P(W)] – 1
= 8 – 1
= 7
or
Number of proper subsets of W
= 2m – 1
= 23 – 1
= 8 – 1
= 7
APPEARS IN
RELATED QUESTIONS
Write with reason, Whether the following set is finite or infinite.
A = {x | x < 10, x is a natural number}
State the following sets are finite or infinite:
A = {x : x ∈ Z and x < 10}
Find, if the following sets are singleton sets:
A = {x : 7x – 3 = 11}
Are the sets A = {4, 5, 6} and B = {x : x2 – 5x – 6 = 0} disjoint?
State if the following set is a finite set or an infinite set:
{x : x = `(n-2)/(n+2)`, n ∈ w)
Identify the following set as finite or infinite
B = {x : x² – 5x + 6 = 0, x ∈ N}
Identify the pair of sets are disjoint or overlapping?
E = {x : x is a factor of 24} and F = {x : x is a multiple of 3, x < 30}
If S = {square, rectangle, circle, rhombus, triangle}. List the elements of the following subset of S
The set of shapes which have 4 equal sides
Write down the power set of the following set:
A = {a, b}
Write down the power set of the following set:
E = Ø
