write all subset of {A,B,C,D,E,F} step by steps
Answers
There are total a list of 31 subsets which are:-
a, b, c, d, e, f, ab, ac, ad, ae, af, bc, bd, be, bf, cd, ce, cf, de, df, ef, abc, abd, abe, abf, abcd, abce, abcf, abcde, abcdf, abcdef.
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Answer:
The number of subset in {A,B,C,D,E,F} IS 64
Step-by-step explanation:
Sub set:
- One of the mathematics concepts known as Sets includes subsets. A group of elements or components enclosed in curly braces, such as {a,b,c,d} is a set.
- Set B is said to be a subset of A if it consists of the numbers 2, 4, and 6, and set A is the superset of B if set A is a collection of even numbers.
- If every element of Set A is also present in Set B, then Set A is said to be a subset of Set B. set A is contained inside Set B.
Given {A,B,C,D,E,F}
No of subset =
=
= 2 × 2 × 2 × 2 × 2 × 2
=64
Subset = {} , {A}, {B}, {C}, {D}, {E}, {F}
{A,B}, {A,C}, {A,D}, {A,E}, [A,F}, {B,C}, {C,D}, {D,E} , {E,F}, {B,D},
{B,E}, {B,F}, {C,E},{C,F},{D,F},
{A,B,C},{D,E,F}, {A,C,D},{B,C,D},{C,D,E},{D,E,A}, {E,A,B},{A,B,F},
{B.C,F},{C,D,F},{A,E,F},{A,B,D},{B,E,F},{B,D,E},{C,E,F},{A,C,E},{A,C,F}
,{A,D,F},{B,D,F}
{A,B,C,D},{A,B,D,F},{A,B,C,F},{A,C,D,F}, {A,C,D,E},{A,D,E,F},
{A,B,E,F},{A,B,D,E},{C,D,E,F},{B,C,E,F},{B,C,D,E},{B,D,E,F},{A,C,E,F},
{B,C,D,F},{A,B,C,E}
{A,B,C,D,E},{A,B,C,D,F},{A,C,D,E,F},{A,B,D,E,F},{A,B,C,E,F},
{A,B,C,D,E,F},{B,C,D,E,F},{A,B,C,D,E,F}
Total number of subset in {A,B,C,D,E,F} = 64
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