Thanks Pete.

So the takeaway would be to pay close attention to the context and look for those keywords that hint at distinction between cases?

combination or permutation

I know that its ordered vs. unordered that decides which one it is; but is that the bottom line? can someone elaborate on what it means by ordered vs. unordered ? The principal of a high school needs to schedule observations of 6 teachers. she plans to visit one teacher each day for a work week (M-F...

Thanks Anurag.

I dont understand what I am doing wrong. Since we are plugging in a number for work, lets say work = 1.

----r-------t------d
x -- r -----12------2/3

12r=2/3
36r=2
r=1/18 <- rate of x

----r-------t------d
y -- 1/180 ---t------1/3

t/180=1/3
t=60

Hi Kavita, What a coincidence. My last message in this post was about a year back and then I took a break. Yesterday, I was doing word translations again and you messaged! Thanks for your advice. Currently, I am quite strong in number properties, equations, and FDP problems. However, I am still stru...

Thanks Brian,

Always great hearing you!

tough inequality

if x is NOT = 0, is (x^2 +1)/x > Y? (1) x = y (2) y>0 I don't understand how (1) is not sufficient. To multiply by variable, we need to take the positive and the negative: (x^2 +1)/x > Y x^2 +1 > xy ? And stmt 1 says y=y hence the question becomes, x^2+1>x^2 ? In which case, YES! regardless of wheth...

must you always check the validity of an absolute value?

Do you always have to check whether the 2 solutions you got are valid?

Absolute Value confusion

Not quite sure about (1).

(1) basically says that x = -x and plugging that into the question, = x

The book says that the value of an absolute value can be 0 or x? Doesn't make sense!