Subset Calculator
MathCalculate the total number of subsets, proper subsets, and subsets of a given size for a set of n elements.
Total Subsets
The total number of subsets of an n-element set, including the empty set and the full set, 2^n.
Proper Subsets
15
The number of subsets excluding the full set itself, 2^n - 1.
Subsets of Size k
6
The number of subsets containing exactly k elements, the binomial coefficient n choose k.
Found this calculator useful?
From Scratch To $10K/Month In 60 Days
This is a proven money making system that takes students by the hand to make at least $10,000 per month, every month. Students get 12 weeks of guided coaching in addition to the "MPS Super Funnel" and tools.
We value your privacy and promise not to sell or misuse your information. Here's our privacy policy.
Calculator Stats
Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
Calculator Stats
Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
Math calculators
Frequently Asked Questions
How many subsets does a set have?
A set with n elements has exactly 2^n subsets in total, since each element is either included or excluded independently, giving 2 choices per element.
What is a proper subset?
A proper subset is any subset that is not the entire original set (though it can be the empty set). There are always exactly one fewer proper subsets than total subsets, 2^n - 1.
What is a real example of this?
A 4-element set has 16 total subsets, 15 proper subsets, and exactly 6 subsets containing exactly 2 elements, matching the fourth row of Pascal's triangle (1, 4, 6, 4, 1).
Spot a mistake? Tell us what's wrong.
Request a calculator. The most-requested ones get built first in our monthly batch.
Request a calculatorWant this calculator on your website?
Embed the Subset Calculator on any site — no code needed. Customize colors, remove branding, and track usage.
