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

JEE Question

By Chhayank Thakur · Apr 28, 2020 ·JEE
10 Answers
Shalini Nawariya answered Apr 28, 2020
It should be 8 ....
{1,2,3,(1,2),(1,3),(2,3),(1,2,3),fi }

K.p.s Singh answered 3 days ago
It should be 8,because no of subset =2^n,=2^3=8

Manish Kumar answered 2 days ago
Which of the following has only one suset

Shagun Mehta answered Apr 28, 2020
Always remember the formula for finding proper set is 2^n -1 where n is no. of elements

Khaja Moinuddin answered 3 days ago
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 2³-1=7

Amit Gulbhile answered yesterday
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

Ritu Singh answered Feb 01, 2020
Number of subsets of a given set = 2n

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.

Ac Gupta answered 2 weeks ago
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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