CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Power Set

The number of...

Question

The number of non-empty proper subsets of a set A is 0 then n(A)=______

Open in App

Solution

Number of non - empty proper subsets of a set with $n$ elements is $= 2^{n} - 2$
Given, for a set A
$2^{n} - 2 = 0$
$=> 2^{n} = 2$
$=> n = 1$
So, $n (A) = 1$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If a finite set

A

m

elements, then the number of non-empty proper subsets of

A

A = {1, 2, {3, 4}}

, then the number of non-empty proper subsets of

A

Q. The number of non-empty proper subsets of a set containing 7 elements is______

Q. A and B are any two non-empty sets and A is proper subset of B. If n(A) = 5, then the minimum possible value of n(A ∆ B) is ____________.

Q. Assertion :The number of non empty subsets of the set

{a, b, c, d}

15

. Reason: Number of non empty subsets of a set having

n

2^{n} - 1

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Power Set

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon