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Creating a new raster showing values based on how many rasters overlap

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Intro to GIS student here.

Hopefully I can articulate this issue clearly:

Currently, I have six raster layers that I am trying to create a new layer out of. I think the best way to describe the new layer is using a venn-diagram analogy.

Imagine the classic 3 circled venn diagram. Each of these circles is a unique raster.

I am trying to create a new raster that assigns values based on how much overlap there is. So, for example, areas of the venn diagram where none of the circles over-lap would have a value of 1, areas where there is overlap between two circles would have a value of 2, and the area where all three circles overlap would have a value of three.

So with my actual project, the new layer would look something like:

Areas with 6 overlap = 6
Areas with 5 overlap = 5
Areas with 4 overlap = 4
and so on.

I've googled but haven't worded my problem yet, or there is no easily found tutorial for this.


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