How many different ways can you go about completing a course/ class at university? How many different combinations of results in assignments are possible in a University course?
I am interesting in calculating the number of unique ways I can finish this course that I am doing. To make things easier, there are no partial marks.
Here are some conditions:

*

*There are four assessable tasks

*

*Assignment 1: Weighted 10%

*Assignment 2: Weighted 15%

*Assignment 3: Weighted 15%

*Assignment 4: Weighted 60%



*Possible marks for each assessment:

*

*Assignment 1: /10

*Assignment 2: /10

*Assignment 3: /10

*Assignment 4: /100



I am a little rusty on my combinations discrete mathematics. Can this be viewed as a pigeonhole principle problem or would this be permutations/combinatrix?
From an algorithmic point of view, how would you go about solving this?
TL/DR: How many combinations of indiviudal graded assessments can you get in a course? What is the range of end of semester marks possible?
Thank you for your time.

Eureka
By writing a small block of code I was able to find out 134431 unique combinations of grades!! This surpised me, mostly because I don't understand entirely why this is the case.
I am still curious as to how you would solve this mathematically instead of programmatically... don't hesitate to correct me or prove otherwise either !!
thank you everyone :)
