Cartesian product A × B has cardinality:
A|A| × |B|
B|A|
C|A| + |B|
D|B|
Answer & Solution
Correct answer: A. |A| × |B|
A × B = set of ordered pairs (a, b) with a ∈ A, b ∈ B. |A × B| = |A| × |B|.
e.g., {1,2}×{a,b} has 4 pairs.
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: