Using the combination formula, it is found that 749,398 5-disc combinations can be made from the collection.
The disks are chosen without replacement, hence the combination formula is used to solve this question.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 5 disks are taken from a set of 6 + 10 + 4 + 9 + 12 = 41 disks, hence:
[tex]C_{41,5} = \frac{41!}{5!36!} = 749398[/tex]
749,398 5-disc combinations can be made from the collection.
You can learn more about the combination formula at https://brainly.com/question/25821700
