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Weekly  Challenge
January 29 - February 2, 2007

This Sunday is the Superbowl and I'm learning all about football trying to make up this problem!  When you play football, points can be scored the following ways:

       (T) Touchdown  -  6 points
               (E) Extra point only after a touchdown - 1 point
                                                   or
               (C) Two point conversion only after a touchdown  -  2 points
        (F) Fieldgoal  -  3 points
        (S) Two Point Safety - 2 points

Note:  You can only score an extra point or a two point conversion after a touchdown.  You can score as many fieldgoals, safetys, and touchdowns as you like.  


If during the first quarter, a team scored 12 points, what are the possible ways that could have been done ?  Use the abreviations above (T, E, C, F, S) in your answer below.  There are eight ways.


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For 4th and 5th graders:  Suppose the team scored two touchdowns with a total of 20 points, what are the possible ways that could have been done ?
Hint: There are six ways.