possible combinations

Question

i have a jar which must always be filled to 100%. i have 4 different items which can be placed into the jar to fill it. each item can be added in increments of 25%, and may be placed in the jar more than once. how many combinations are possible to fill the jar?

example:
* combination 1 = item a) 100%, item b) 0%, item c) 0%, item d) 0%
* combination 2 = item a) 75%, item b) 25%, item c) 0%, item d) 0%
* combination 3 = item a) 25%, item b) 25%, item c) 25%, item d) 25%
.....
* combination n = item a) 0%, item b) 0%, item c) 0%, item d) 100%

How do you solve for the number of combinations?

Answer 1

As I understand there are 4 items and each item can take "values" 0%, 25%, 50% and 100% five possible values, altogether 20 (4x5).

 

Now possible combinations would be (²⁰₄) combinations from 20 by 5 which is equal to 4845.

So, there are 4845 possible combinations.