List ot the all tha subsets of the set A=(x,y)
Answers
Set B = {p,q}
and n(B) = 2
Number of subsets
=
2
n
=
2
2
=
4
=2n=22=4
So the subset are:
{p}, {q} , {p,q}, or
ϕ
ϕ
2)
Set C = {x,y,z}
and n(B) = 3
Number of subsets
=
2
n
=
2
3
=
9
=2n=23=9
So the subset are:
{x}, {y}, {z}, {x,y}, {y,z}, {x,z}, {x,y,z}, or
ϕ
ϕ.
3)
Set D = {a,b,c,d}
and n(B) = 4
Number of subsets
=
2
n
=
2
4
=
16
=2n=24=16
So the subset are:
{a}, {b}, {c}, {d}, {a,b}, {b,c}, {c,d},{a,d}, {a,c}, {b,d}, {a,b,c}, {b,c,d}, {c,d,a}, {d,a,b}, {a,b,c,d} or
ϕ
ϕ.
4).
Set E = {1,4,9,16}
and n(B) = 4
Number of subsets
=
2
n
=
2
4
=
16
=2n=24=16
So the subset are:
{1}, {4}, {9}, {16}, {1,4}, {4,9}, {9,16},{16,1}, {1,9}, {4,16}, {1,4,9}, {4,9,16}, {9,16,1}, {16,1,4}, {1,4,9,16} or
ϕ
ϕ.
And
5).
Set F = {10,100,1000}
and n(B) = 3
Number of subsets
=
2
n
=
2
3
=
9
=2n=23=9
So the subset are:
{10}, {100}, {1000}, {10,100}, {100,1000}, {1000,10}, {10,100,1000}, or
ϕ
ϕ.