<p>@StudiousMaximus - im not sure if there was 2 of the same color that was specifically in front or back then the answer isn’t 6! if it was just 1 then 100% its 6!</p>
<p>There were 8 different colored cars, and they already said that one specific color had to be in the front, and another specific color had to be in the back (I think it was like red in the front and green in the back?) Regardless, that leaves 6 distinct cars in 6 distinct positions (in the middle 6)… You use permutations, and yup. It’s 6!</p>
<p>Wait sorry sorry if I’m totally behind on the info so far, but for the p^3 question, one roman numeral was that the prime factor had to be positive for something, so that’s right. and another roman numeral said that there were 3 distinct FACTORS. </p>
<p>Did it say prime factors? Because if it did, then yeah, you’re definitely right, there would only be one distinct prime factor p. HOWEVER, if it was just “3 distinct factors”, then wouldn’t that also be right?</p>
<p>p, p^2, and p^3 are all distinct factors are they not?</p>
<p>^ Didn’t it say distinct prime factors? Or something like that? Technically, 1 and p^3 are factors. So 1, p, p^2, and p^3 are factors, which makes 4.</p>
<p>yeah i picked 6! too but since the cars could be going in both direction (left or right) red can be leading the cars or in the front in two ways…</p>
<p>But it said how many ways can they be ordered. I don’t think it matters which direction they’re facing. I wish I could read that question again.</p>
<p>Right I thought it said 3 distinct factors, like it wasn’t a limitation. I just thought it meant this positive number has 3 factors, could be more, but no less?</p>
<p>I don’t know… then again, we have to see the problem.</p>