Odd Combination

Question

Grenda has 25 marbles She places them in three piles, with an odd numbers of dimes in each pile. In how many different ways can she accomplish this?

Answer 1

There can be 2 piles with the same odd number of marbles, as the problem states no differently.

1 1 23

1 3 19

1 5 17

1 7 15

1 9 15

1 11 13

1 13 11

1 15 9

1 17 7

1 19 5

1 21 3

1 23 1

3 1 21

3 3 19

3 5 17

3 7 15

3 9 13

3 11 11

3 13 9

3 15 7

3 17 5

3 19 3

3 21 1

5 1 19

5 3 17

5 5 15

5 7 13

5 9 11

5 11 9

5 13 7

5 15 5

5 17 3

5 19 1

7 1 17

7 3 15

7 5 13

7 7 11

7 9 9

7 11 7

7 13 5

7 15 3

7 17 1

9 1 15

9 3 13

9 5 11

9 7 9

9 9 7

9 11 5

9 13 3

9 15 1

11 1 13

11 3 11

11 5 9

11 7 7

11 9 5

11 11 3

11 13 1

13 1 11

13 3 9

13 5 7

13 7 5

13 9 3

13 11 1

15 1 9

15 3 7

15 5 5

15 7 3

15 9 1

17 1 7

17 3 5

17 5 3

17 7 1

19 1 5

19 3 3

19 5 1

21 1 3

21 3 1

23 1 1