Question

If n(A) = m, then the number of proper subsets of set A is______
a.
2m
b.
2m + 1
c.
2m – 1
d.
2m-1


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Answer 1

Answer:

your answer is in the attachment

Answer 2

Answer :

• (2^m) - 1 is the correct answer

Explanation :

Number of total subsets of a given set containing n number of elements is given by,

• 2ⁿ

But it also includes phi { } or empty set which is not a proper subset.

Hence the total number of proper subset are ( 2^m )-1.

Learn more :-

• Phi ø set is also called the void set and is the subset of all the sets.

• Cardinal number of a set is the total number of elements in a set and is given by n( A ) for some set A.

• Power set is the set containing all the subsets of a given set and is denoted by P(A) for some set A.