"At most one" means none or one. If they are parked side-by-side that can be done in \(\displaystyle n-1\) ways. WHY?
Thanks Mark, I am new at the forum, I will try to be better! I just try to find some results on those on some hobby I have!I've given all 4 of your threads, which had identical non-descriptive titles, good titles and attached the images inline so they can be read while replying. In each of your 4 threads, please show what you have done so far, so our helpers know where you are stuck and how best to guide you.
pka - It doesn't seem to be correct!"At most one" means none or one. If they are parked side-by-side that can be done in \(\displaystyle n-1\) ways. WHY?
If they are parked with exactly one space between them that can be done in \(\displaystyle n-2\) ways. WHY is that?
What is the total number of ways the two cars can be parked in \(\displaystyle n\ge 2\) places?
Why did you ignore my request for reasons for the answers I gave?pka - It doesn't seem to be correct!
Therefore, I am also a bit confused with it!Why did you ignore my request for reasons for the answers I gave?
If they do not seem to be correct you must tell me why they seem to be incorrect.
Here is the model: Draw n empty boxes a page. Number each box \(\displaystyle 1,2,\cdots,n\).
If we randomly assign(by a draw, by a computer program ), two of those numbers to the two people. What is the probability their numbers will differ by no more than two? That mean the numbers are consecutive(next to each other) or there is one number between them(one space between them).
If that model is incorrect, then you must correct it. It is what you posted.
Tell us about your confusion. We cannot help if all you say is "I am confused"Therefore, I am also a bit confused with it!