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Karthik Venkata

Visakhapatnam, India

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About
Posts
Following – 91
Followers – 290
Sets – 16
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Posts

Board Colorings (Doubt)

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 ...

by Karthik Venkata

Stirling numbers of \( 2^{nd} \) kind

Discrete Mathematics

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

by Karthik Venkata

Left to the Reader: Forest Fires

Computer Science 13 replies

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 ...

by Josh Silverman

Probability (when identical)

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:

Both boxes ...

by Karthik Venkata

Don't Spill it!

Geometry Level 4

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 ...

by Worranat Pakornrat

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