Mr. L's Math
Tools & Techniques for Math Teachers and Students
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permutations

KenKen Conundrum – Solution of Permutations on a 4×4 Grid

KenKen Conundrum – Solution of Permutations on a 4×4 Grid

By Bill Lombard on 17 January, 2009

We have the solution to the KenKen Conundrum posed recently. I asked my students to solve the following problem, and several of them succeeded. The original question was, “How many different arrangements (permutations) of the integers 1, 2, 3, 4 are possible in a 4×4 grid such as KenKen? Several people commented to the post, [...]

Posted in Math Activity, Puzzle | Tagged KenKen, latin squares, permutations, Puzzle, symmetry | 1 Response

“Mr. KenKen”, Tetsuya Miyamoto, and How Many 4×4 Puzzles There Are

“Mr. KenKen”, Tetsuya Miyamoto, and How Many 4×4 Puzzles There Are

By Bill Lombard on 16 January, 2009

After the recent post about How Many Possible 4×4 KenKen puzzles there are, Tetsuya Miyamoto, the creator of KenKen, gave us the following insight: (edited by Mr. L for clarity) “Permutations of an order of number 1 to 4 can be calculated, but it is only how many variations of placing numbers, no calculation involved. [...]

Posted in Puzzle | Tagged KenKen, permutations, Puzzle | 1 Response

KenKen Conundrum – How Many Possible Puzzles Are There?

KenKen Conundrum – How Many Possible Puzzles Are There?

By Bill Lombard on 9 January, 2009

On the way to school yesterday an interesting question occurred to me. How many ways are there to arrange the numbers 1, 2, 3, 4 in a 4×4 grid according to KenKen rules? After driving a few more miles, I came up with “the answer” of 288. I shared this with my first class of [...]

Posted in Puzzle | Tagged KenKen, permutations, Problem-Solving, Puzzle, Will Shortz | 17 Responses

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Popular Posts

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  • Key Facts to Know in Algebra 1 4 comment(s)
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