/sci/ - Science & Math

Hi /sci/, recently an interesting question come up while im studying combination and permutation. I can't get the right answer so I hope we can discuss about this.

There are 5 big beads, each of them is different and unlimited amount of 5 different types small beads.

How many ways can you arrange them into a necklace so that
-there are 5 any type of small beads between every big beads
-all big beads is used

So far, I've only find out that there must be more than 4! ways of arranging them since the 5 big beads is a circular permutation (5-1)!
Pic related, I will try to clarify some things if the question is not clear enough. I'm thinking of making a thread about this but this might be just a stupid question.

Thank you