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For The Mathematically Inclined

Anil Saigal
07/18/2010

PROBLEM # 1
It was Priya's first day at school. The teacher suggested that it would be a good idea for each child to meet every other child in the class. The teacher said, "When you meet, please shake hands and introduce yourself by name."

If there were 15 children in the class, how many total handshakes were there?

PROBLEM #2

If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of the fourth vertex D

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

Use Problem Solutions M-072210 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 from 07/08/10

PROBLEM # 1

How many teams participate in the tournament (knockout) if 31 matches are totally played?

SOLUTION

32.
 

PROBLEM #2

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

SOLUTION

40.


Congratulations to Kishore Balsara and Manasi Danke
, who were winners of the last set of puzzles.



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