How many ways are there to arrange 10 marbles among three containers

Question

5 marbles in container a, 0 marbles in container b and 5 marbles in container c is a different arrangement than 0 in a, 5 in b and 5 in c

Answer 1

 

a      b     c

10    0     0

9      1     0

8      2     0

8      1     1

7      2     1

6      3     1

6      2     2

5      5     0

5      2     3

5      4     1

4      3     3

4      2     4

Now take each triple and change their positions wherever you can to determine all possible arrangements.