allery|A| = 5, |B| = 3. Number of relations from A to B:
A125
B2^15 = 32768
C8
D15
Answer & Solution
Correct answer: B. 2^15 = 32768
2^(|A| × |B|) = 2^15 = 32768. Versus number of functions: 3^5 = 243. So relations vastly more than functions.
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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: