Function & Set & Possibility question (Solved)
For set A={1, 2, 3, 4, 5}, how many functions f from set A to set A satisfy the following conditions?
(A) n({f(x)|x E A}) = 3
(B) composite function f*f's range have 2 elements.
a) 900 b) 1440 c) 1080 d) 1620 e) 1200
(I'm not English user, so translation might be rough. I want to know how to solve this problem.)
3
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- unanswered
- 391 views
- Pro Bono
Related Questions
- Prove that $1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}} \leq 2 \sqrt{n}-1$
- Complex Variables
- Obtaining the absolute velocity of a moving train based on angle of raindrops with respect to vertical axis
- 35 min question
- Find the antiderrivative of $\int \frac{v^2-v_o^2}{2\frac{K_e\frac{q_1q_2}{r^2}}{m} } dr$
- Recursive Set
- Taylor Polynom/Lagrange form om the remainder term.
- Determine the surface area of a ball, rotating a function about $x$-axis.
Questions at this level should come with a bounty.