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For The Mathematically Inclined

Anil Saigal
09/25/2019

Problem 1:
How many words can be created from the word MATEMATIKA by changing the order of the letters, regardless of whether or not the words are meaningful?


Problem 2:
What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-12/05/19 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems 11/21/19

Problem 1:
I have cylindrical tube that narrows at the bottom. The top of the tube is .625” and the bottom is .532” in diameter. The  height of the tube is .250". What angle does the outer wall of tube with respect to a flat surface on which it is standing vertically?  Assume it narrows linearly. 

Problem 2:
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.


Congratulation to Kishore Balsara, who was the winner of the last set of puzzles.



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