For The Mathematically Inclined

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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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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