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The PCTM Puzzle of the Week - Solutions











Name: Jay Brown
Grade: 9
School: PVMS

The answer is 64.



Compare the triangular array spelling the word TURKEYS with Pascal's triangle to discover the solution.
There is one way to arrive at  T
Two ways to arrive at a letter  U
From each U there are two paths to a letter R, so there are:
Four ways to arrive at a letter  R
From each R there are two paths to a letter K, so there are:
Eight ways to arrive at a letter  K
From each K there are two paths to a letter E, so there are:
Sixteen ways to arrive at a letter E
From each E there are two paths to a letter Y, so there are:
Thirty-two ways to arrive at letter Y
From each Y there are two paths to a letter S, so there are:
Sixty-four ways to arrive at a letter S


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