a) Let be one to one maps. Show that the function defined by , for all , cannot be a surjective function.

b) Let be a surjective function. Show that there exist surjective functions such that , for all .

Summary of the problem: I am trying to edit forum pages to post amc8 solutions but it says I have been blocked.

Page URL: https://artofproblemsolving.com/wiki/index.php?title=2024_AMC_8_Problems/Problem_19&action=edit
Steps to reproduce:
1. I go to a forum page
2. I click edit
...
Expected behavior: blocked message (attached)
Frequency: every time
Operating system(s): mac
Browser(s), including version: safari
Additional information:

Hello,

I completed the mathcounts practice test, offered by AOPS (not the official school round) and would like to see a breakdown of the solutions to see if there are any other interesting approaches to solve the various problems. If a solution page similar to the AMC10 and AMC8 practice contest solutions from AOPS could be provided, that would be amazing.

Summary of the problem: The past events slide for the AMC 8 competition say that students can participate in the "competitions" plural instead of singular.
Page URL: https://artofproblemsolving.com/contests/amc
Steps to reproduce:
1. Go to page URL
2. Scroll down to Past Events
3. Click Load More
4. Scroll down to the AMC 8 on January 18.
5. Notice the typo.
Expected behavior: The slide should say "competition" instead of "competitions"
Frequency: 100%
Additional information: In Past Events, AIME is referred to as a "competition" rather than "competitions" like the AMC 10/12. This shows that AoPS lists singular competitions as "the competition" rather than "the competitions."

@jmiao
AoPS once said, "No error is too small to mention."

AoPS usually has a mock AMC 8 before the actual test. Where is it?

Hi. When I joined the 2022 AMC 8 math jam, @lizhufan was the instructor. When I look at the transcript, @goveganddomath is the instructor. Can you guys reproduce? What's happening?

For the AMC 8, is "excessive chat use" a formidable way for being disqualified - since I asked if I was on the right link and a few other questions about my computer setup, internet if crashing, and last resorts if it crashed. Attached.

In the AMC8 practice competition there is a "Solution" box but there is not solution inside. I tried hard refreshing to no avail. (I know there is also a PDF but that's not the point.)
Also if I am sharing any info about the practice competition that I should not, please tell me so I can fix it.

so I was on AMC trivial and this happened
I was practicing for the AMC 8 but then for 2013 AMC 8 #12 i put in B, and it said I was wrong, and when I clicked again it said I was correct
probably can't be reproduced

Hey!

I was about to start the practice AMC 8, when I saw that the honor code policy says, "January 2020" (see screenshot). Is it supposed to say that or is it a typo?

~ Aqua

The HR cutoff for 2019 AMC 8 was 19, not 21: