Quant Exam  >  Quant Questions  >  Order of the power set of a set of order n is... Start Learning for Free
Order of the power set of a set of order n is
  • a)
    n
  • b)
    2n
  • c)
    n2
  • d)
    2n
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect an...
It's a standard (proven) equation.You can find explanation in +2 Book.Honestly I don't remember the way.
Free Test
Community Answer
Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect an...
Power Set of a Set

The power set of a set is the set of all possible subsets of the given set. For example, if the set is {1, 2}, then the power set is {{}, {1}, {2}, {1, 2}}.

Order of the Power Set

The order of a set is the number of elements in the set. The order of the power set of a set with n elements can be found using the formula:

2^n

Explanation

To understand why the order of the power set is 2^n, consider the following:

- For each element in the original set, there are two possibilities: either the element is included in a subset, or it is not.
- Therefore, for a set with n elements, there are 2 choices for the first element, 2 choices for the second element, and so on, up to 2 choices for the nth element.
- The total number of possible subsets is then the product of all these choices, which is 2^n.

Example

Let's take an example to illustrate this. Consider the set {1, 2, 3}. The power set of this set is:

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

The original set has 3 elements, so the order of the power set is:

2^3 = 8

Conclusion

The order of the power set of a set with n elements is 2^n. This formula can be used to quickly find the number of possible subsets of a set, which can be useful in combinatorics and other areas of mathematics.
Explore Courses for Quant exam
Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer?
Question Description
Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Order of the power set of a set of order n isa)nb)2nc)n2d)2nCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev