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For The Mathematically Inclined

Anil Saigal
05/06/2005

FOR CHILDREN

PROBLEM # 1
If the consecutive odd counting numbers are arranged as shown, what is the middle number in the 23rd row.

Row 1:  1
Row 2:  3 5
Row 3:  7 9 11
Row 4: 13 15 17 19
Row 5: 21 23 25 27 29

FOR GROWNUPS
In Figure 1, if segment FD is parallel to segment AB, determine the length of segnment EF.

PROBLEM # 2

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SOLUTIONS TO PROBLEMS ON 05/05/05

FOR CHILDREN

PROBLEM # 1
How may different ways can five people be seated in seven chairs?

SOLUTION
7P5 = 2520.

FOR GROWNUPS

PROBLEM # 2
What is the probability that when you roll two fair dice, the product of the dice is divisible by four? Please note that rolling a two on the first die and a one on the second die is different than rolling a one on the first die and a two on the second die.

SOLUTION
15/36 = 5/12.

Congratulations to Jaya Devulapalli, Amar Gupta, Mahesh Murali, Pooja Mutalik, Pooja Nagda, Sarthak Pani, Preeti Rangaraj and Mukund Seshadri, who were winners of the last set of puzzles.



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Figure 1

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