Trivia

Subject:
Re: Puzzler -- Toy Blocks
Response To:
Re: Puzzler -- Toy Blocks ()

Larry Barrett
I am reasonably sure I got the correct count for the one block, one step - 1 way, and the three block, two step - 2 ways solutions. But there are more ways for the six block, three step solutions and then lots more ways for the 10 block, 4 step solutions.

For the six block 3 step solution I came up with these solutions:
BBBGGO, BBBGOG, BBGGOB, BBGOGB, BBGOBG, BGOBGB, BGOBBG

After thinking about this some more I can add BBGGBO, BBGBGO, BBGBOG and I am not sure this is all. About the only rule I can come up with is that in each sequence the number of blocks of the lower level color must always be >= the number of blocks of the next higher level color. So you can't have a sequence that starts out BGG... or BOG... for example.

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