FunctionHard
Question
Let E = {1, 2, 3, 4} and F = {1, 2}, Then, the number of onto functions from E to F is
Options
A.14
B.16
C.12
D.8
Solution
The number of onto functions from
E = {1, 2,3, 4} to F = {1, 2}
= Total number of functions which map E to F
- number of functions for which map f(x) = 1 and
f(x) = 2 for all x ∈ E
= 24 - 2 = 14
E = {1, 2,3, 4} to F = {1, 2}
= Total number of functions which map E to F
- number of functions for which map f(x) = 1 and
f(x) = 2 for all x ∈ E
= 24 - 2 = 14
Create a free account to view solution
View Solution FreeMore Function Questions
The period of function f (x) = |sin3 (x / 2)| is...Let $f:\lbrack 1,\infty) \rightarrow \mathbb{R}$ be a differentiable function, If$6\int_{1}^{x}\mspace{2mu} f(t)dt = 3xf...The interval for which sin−1 √x + cos−1 √x = holds-...Which of the following function (s) is identical to | x - 2 | -...Function f : R, f(x) = tan x is...