The number of proper subsets of the set { 1, 2 , 3 } is :

- a)7
- b)5
- c)6
- d)8

Correct answer is 'A'. Can you explain this answer?

Related Test: Test: Set Notations

25 Answers

Mysterio Man
answered
3 weeks ago

Proper subset for the set {1,2,3}={},{1},{2},{3},

{1,2},{2,3},{3,1}=7 subsets

{1,2},{2,3},{3,1}=7 subsets

Anjali Sharma
answered
3 weeks ago

Ans is 8

Proper subset of A is {},{1}, {2} , {3}, {1,2},{2,3}, {1,3},{1,2,3}

Proper subset of A is {},{1}, {2} , {3}, {1,2},{2,3}, {1,3},{1,2,3}

Khaja Moinuddin
answered
Jul 03, 2020

A proper subset is all subsets possible for a given set excluding the set itself so the traditional formula reduces to 2^(n)-1...so the answer for this question is 2Â³-1=7

Shagun Mehta
answered
Apr 28, 2020

Always remember the formula for finding proper set is 2^n -1 where n is no. of elements

Mohit Mittal
answered
3 weeks ago

No. of proper subsets = 2^n - 1

are = {}, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}.

Amit Gulbhile
answered
Jul 05, 2020

Proper subsets of any set A={m} are 2^m-1.

so proper subsets of set having 3 elements are 2^3-1=7

so the answer is option A

so proper subsets of set having 3 elements are 2^3-1=7

so the answer is option A

Anees Mohammed
answered
2 weeks ago

Total subsets = 2^n

as n=3 :total sets =8 but proper set contains atleast single element then

total subsets -1 : 8-1= 7

as n=3 :total sets =8 but proper set contains atleast single element then

total subsets -1 : 8-1= 7

Supriya Singh
answered
May 27, 2020

{1,2,3},{1,2},{2,3},{3,1},{1},{2},{3},{}

always remember an empty set is a subset of every set.

always remember an empty set is a subset of every set.

Omkar Rane
answered
Jul 08, 2020

A={1,2,3}

Therefore, n=3

Hence,

Number of subsets=2^3.

But number of proper subsets are always 1 lesser than the number of subsets.

Because proper subset does not have all the elements which are in the given set.

Hence, number of proper subsets=2^3-1

=8-1

=7

That's solve.

Therefore, correct answer is 'A'.

Therefore, n=3

Hence,

Number of subsets=2^3.

But number of proper subsets are always 1 lesser than the number of subsets.

Because proper subset does not have all the elements which are in the given set.

Hence, number of proper subsets=2^3-1

=8-1

=7

That's solve.

Therefore, correct answer is 'A'.

Amrit Raj Garg
answered
4 weeks ago

The basic formula for proper subset is 2^n , here n= no of elements in the set

So your answer is very simple as no of proper subsets ,2Â³= 8 as here n=3 ( no of elements ).

~A.r.Garg

So your answer is very simple as no of proper subsets ,2Â³= 8 as here n=3 ( no of elements ).

~A.r.Garg

Rekha Sharma
answered
4 weeks ago

Formula for no. of subset =2^n

but for proper subset=2^n-1

so here no of elements are 3 then answer must be 7 as 2^3-1=8-1=7

but for proper subset=2^n-1

so here no of elements are 3 then answer must be 7 as 2^3-1=8-1=7

Martin Kumar
answered
3 weeks ago

Number of proper subsets={}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}

Ac Gupta
answered
Jun 23, 2020

Because no of subset is 2m, which is here 8 but in includes set it self which is not proper subset. So 7 is subset.

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