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?