Problem solving

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aliciacolman1
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#1
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#1
i have this problem:
you have six identical counters, and a 4x5 square grid. no more than one counter may occupy each square in the grid. How many different ways can you arrange the 6 counters onto the grid so that each row and columb contains an even number of counters?

Rotations and reflections that look different as you draw them on a fixed grid should be counted as distinct ways.
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ghostwalker
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#2
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(Original post by aliciacolman1)
i have this problem:
you have six identical counters, and a 4x5 square grid. no more than one counter may occupy each square in the grid. How many different ways can you arrange the 6 counters onto the grid so that each row and columb contains an even number of counters?

Rotations and reflections that look different as you draw them on a fixed grid should be counted as distinct ways.
I'd start by finding one way, and then see how you might generalise it.
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aliciacolman1
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#3
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#3
ive found a few examples. but just stuck from here
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ghostwalker
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#4
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#4
(Original post by aliciacolman1)
ive found a few examples. but just stuck from here
Not knowing what you're examples are - telepathy not working today - it's difficult to comment further.
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aliciacolman1
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mqb2766
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#6
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One obervation is that you've one blank row and two blank columns for each "primitive" solution. Can this be used to generate a set of solutions for each primitive?
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ghostwalker
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#7
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(Original post by mqb2766)
One obervation is that you've one blank row and two blank columns for each "primitive" solution. Can this be used to generate a set of solutions for each primitive?
Good spot - PRSOM.
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