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Doubt from : Ritvik Vantipalli

An n by n board initially has all of its blocks (i.e. 1 by 1 squares) white. Black and white are the only allowed colors ...

Can we algebraically prove that \( S(n,r) \) is an integer (for suitable natual numbers \( n \) and \( r \)) {given it's explicit formula} ?

This is the first edition of Left to the Reader - a monthly problem-solving blog written by the Brilliant team, including open-ended challenges for the community to solve and discuss. While ...

There are 6 identical red balls, 6 identical white balls and 6 identical black balls distributed randomly into two different boxes \(B_1\) and \(B_2\). Find the probability that:

A cylindrical glass of radius 3 is filled with water until its height reaches 11, as shown above left.

Now, if the cylinder is tilted such that it forms an ...

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