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Solution to Christmas Puzzle 7.  CHRISTMAS GIFTS

Alice, Bob, Cathy and Dan gathered together to exchange Christmas presents.  Each of them brought two gifts.  Alice wrapped her gifts in green wrappers.  Bob wrapped his gifts in yellow wrappers.  Cathy wrapped her gifts in blue wrappers.  Dan wrapped his gifts in red wrappers.  They drew lots to determine which gifts they are supposed to receive.

(1) Each of the receive two gifts in wrappers of  different colors,

(2) Each did not get the gifts they brought.

From whom did Alice, Bob, Cathy and Dan each received gifts from?

Solution:

Set up a table as shown below:

 Green Yellow Blue Red Alice X2 X3 Bob X2 X5 Cathy X2 X4 Dan X2

Based on (2), cells marked X2 above can not happen.

Based on (3), (4), and (5), cells marked X3, X4, and X5 can not happen

Since based on (1), there are only 2 Green gifts.  These belongs to Bob and Cathy.  Therefore, Dan did not received any Green Gift.

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Bits and Beyond...

Christmas is not a time nor a season, but a state of mind.  To cherish peace and goodwill, to be plenteous in mercy, is to have the real spirit of Christmas.

Calvin Coolidge

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