alleryPower set of {1, 2, 3} has:
A6
B∞
C3
D8 (= 2³; 2ⁿ subsets for n elements)
Answer & Solution
Correct answer: D. 8 (= 2³; 2ⁿ subsets for n elements)
P(A) = set of all subsets.
For |A| = n: |P(A)| = 2^n.
For {1,2,3}: 2³ = 8 (including ∅ and full set).
Keep practising Unit 1A2: Trigonometric Functions & Inverse Trig
Browse all Unit 1A2: Trigonometric Functions & Inverse Trig questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
In a right triangle, for an acute angle θ, sin θ is defined as:A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:The domain of $f(x)= qrt{4-x^2}$ is:If $(x+1,\,y-2)=(3,\,1)$, then $(x,y)$ equals:The domain of $f(x)= qrt{x-1}$ is:The range of the function $f(x)=x^2,\; x\in\mathbb{R}$ is:The domain of the function $f(x)=\dfrac{1}{x-2}$ is:The reciprocal of sin θ is: