12th Grade Subsets & Power Sets Quizzes, Questions & Answers

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Identifying Subsets & Power Sets (Advanced)

Ready for a challenge? This quiz pushes your skills with advanced subset and power set problems, requiring both strategy and accuracy. Try this quiz to test your mastery of these set operations.

Questions: 10 | Attempts: 10 | Last updated: Nov 12, 2025

Sample Question 1
If A has n elements, how many elements does P(P(A)) have?

2^(2^n)

2^n

2^(n^2)

N^2

Sample Question 2
A has 3 elements. How many elements are in P(P(P(A)))?

2^256

2^128

2^64

2^32

Sample Question 3
If X ⊂ Y and |Y| = n, how many subsets of Y contain X?

2^(n−|X|)

2^n

N−|X|

2^|X|