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I would like brilliant square to be FREE and open to everybody so that people can learn form the experts and their problems. Whoever thinks that I am right in ...

\[\begin{cases} A_n=\left(\frac{3}{4}\right)-\left(\frac{3}{4}\right)^2+\left(\frac{3}{4}\right)^3+\cdots+(-1)^{n-1}\left(\frac{3}{4}\right)^n \\ B_n=1-A_n \end{cases} \]

6 persons go to a party with their coats. While returning back, only two of them pick up their own coat while rest 4 pick up coats of only other ...

Find the number of rectangles that can be obtained by joining 4 of the 12 vertices of a 12-sided regular polygon.

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