Amc/aime

<p>i tried some…and some problems looks like you could solve it or is wayy to bigg to solve it, but it takes on some trick in order to solve it. like this problem:
which of the following is equal of the product (8/4)<em>(12/8)</em>(16/12)…(4n+4/4n)…(2008/2004)?
and at first glance, i thought it was a huge problem or something that i might have to multiply all of them or use the formula…but on closer look…you only need to cancel out all the numerators and denominators excep the first and last terms…lol. and i got 502 = 2008/4…</p>