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The PCTM Puzzle of the Week - Solutions

     The answer to the problem is 256.  We(Mr. Hoyle's Math Class 
in Dartmouth Middle School) came up with it using several different
methods.  We used the Pascal's Triangle method to solve the puzzle,
we also used the number pattern(we noticed that if you had two numbers
it would be two ways to do it, 3, four ways)ext.  We noticed it doubled
every time.  The last method we used was a simple method of just making 
the problem smaller. we took two letters, then made it four, then five,
and so on.

                      There's your answer,   256
                         Thank You and hope to get your
                      next problem right.

                              Thanks from your Cyber Pal,
                                 Cliff Vassal(CVstealth)          
                        

Name: Tim Wagner
Grade: 5
School: Boyce Middle School

First, I did all the possible ways from the "S". The answer was 1. Then, I did 
all the possible ways from "H". The asnswer was 2. So on and so forth from S to 
K. I got numbers that doubled. The final answer was 256 ways to get Shamrocks.

Name: Edwin Cruz Jason Mongeau Brandon M.
Grade: 7
School: Wheatland Middle School

1-1
2-2
3-4
4-8
5-16
6-32
7-64
8-128
9-256

My answer is 256

1-1
2-2
3-4
4-8
5-16
6-32
7-64
8-128
9-256

1-1
2-2
3-4
4-8
5-16
6-32
7-64
8-128
9-256

To Whom it May Concern:

My answer to the Shamrocks is 256.

256 ways.  Can you say, "TURKEYS"?

My final answer is 256 ways.

answer 256

Answer: 2^8 = 128
For every letter but the first, there are two choices.  There are
eight choices of two, so there are 2^8 = 256 ways to spell SHAMROCKS.

Ken Duisenberg

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