Hey everyone,

Just came across this question under Permutations and Combinations:

In the solution video, Greg cites the following possibilities:

1+1+1+1+1+1+1 (1)

1+1+1+1+1+2. (2)

1+1+1+2+2. (3)

…

…

1+2+3+1. (8)

For a total of 8 possibilities.

However, the question asks for how many distinct combinations we can get, so shouldnt the answer be the sum of the number of ways all those 8 additions can be arranged?

For example,

1+2+3+1 can also be 2+1+1+3 (or 4!/2! ways)

The total in this case would be 44.

Am I missing something here?