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From a standard deck of 52 playing cards, find how man five-card hands can be dealt: consisting of one pair and three of a kind The answer is 3744. I don't understand what the question is asking :S Thank you very much :)

Thank you so much braintic :) Awesome explanation!

Find how many arrangements there are of the letters of the word GUMTREE if a) the G is somewhere between the two Es b) the M is somewhere to the left of both Es and the U is somewhere between them c) the G is somewhere to the left of the U and the M is somewhere to the right of the U...

Or do they look at your mark for your HSC exam and then compare it to your year group and use this to estimate your assessment mark? I'm getting told different things by everyone. Some of my teachers say that 'it's not the mark that matters, it's the rank.' I think my question is a bit...

OOOOOH, i get it now! Thank you so much! :) I wasn't expecting such a concise answer :O And oops, my bad! I'll keep that in mind for next time :L

Find the number of arrangements possible if x people are a) in a straight line with 3 people together b) in a circle with 2 people not together The answer for a is 3!(x-2)! and the answer for b is (x-3)(x-2)! Can somebody please explain why? Thanks so much :)