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For The Mathematically Inclined

Anil Saigal
02/09/2015

Problem #1

1.     How many zeros are on the end of 36!? 


Problem #2

In how many ways, counting ties, can eight horses cross the finishing line (For example, two horses, A and B, can finish in three ways: A wins, B wins, A and B tie.)


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Please send your solutions to mr.asaigal@gmail.com. 

Use Problem Solutions M-021215 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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Solutions from 01/29/2015

Problem #1
If 6 boys fill 6 notebooks in 6 weeks and 4 girls fill 4 notebooks in 4 weeks, how many notebooks will a class of 12 boys and 12 girls fill in 12 weeks?

Solution:
60.

Problem #2

Three boxes contain two coins each. One contains two nickels, one contains two dimes, and one contains a dime and a nickel. All three boxes are mislabeled. (Each contains the label of one of the other two boxes.) If you are permitted to take out only one coin at a time, how many must you take out in order to be able to label all three boxes correctly?

Solution:


Congratulations to Kishore Balsara, Richa Juvekar and Suhas Pathak, who were winners of the last set of puzzles.



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