# Problem solving

#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.
0
3 years ago
#2
(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.
0
#3
ive found a few examples. but just stuck from here
0
3 years ago
#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.
0
#5
0
3 years ago
#6
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?
1
3 years ago
#7
(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.
0
X

new posts
Back
to top
Latest

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### Poll

Join the discussion

#### Does school Maths prepare people well enough for the future?

Yes, it gives everyone a good foundation for any future path (31)
34.44%
Somewhat, if your future involves maths/STEM (41)
45.56%
No, it doesn't teach enough practical life skills (17)
18.89%
Something else (tell us in the thread) (1)
1.11%