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Is there any way to sum up the following series ::

{50 C 1} {3^49} + {50 C 2} {3^48} + {50 C 3} {3^47} + ................................... ...................................... {50 C 48} {3^2 ...

I was trying ( unsuccessfully ) to find the minimum distance between two parabolas and thought that I could do that by finding the minimum distance between two parallel tangents to the ...

I had posted this as a problem but I think my approach to the problem wasn't right.

Three archers A , B and C are standing equidistant from each other ...

I got this problem from a friend and couldn't solve it ...

Imagine a cube which needs to be painted with different colors on all it's faces.

In how ...

First see the following problem ::

There are M people at a conference. Initially nobody at the conference knows the name of anyone else. The conference holds several N - person meetings ...

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