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.)
Dnnn
3
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- unanswered
- 90 views
- Pro Bono
Related Questions
- Evaluate $\int \frac{x^5}{\sqrt{x^2+2}}dx$
- Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent
- Convergence integrals
- Convergence of $\sum\limits_{n=1}^{\infty}(-1)^n\frac{n+2}{n^2+n+1}$
- Find the limit as x-->0 for y = (e^x- 1)/[sin(nx)]
- Find an expression for the total area of the figure expressed by x.
- Integrate $\int x^2(1-x^2)^{-\frac{3}{2}}dx$
- Is the infinite series $\sum_{n=1}^{\infty}\frac{1}{n \ln n}$ convergent or divergent?
Questions at this level should come with a bounty.