Formula to identify multiples with 2 criteria

Without knowing anything further, I would throw the data into a Pivot Table, stick, say, the "Fruits" in the "Column Label" and "Values (Count of)" fields and the other,say the "Examples", in the "Row Labels" field.

That will create a 2D matrix that will display the count of overlaps.

Because,
The request as it stands has kind of three parts: one is the combinatorics of assessing what all the combinations are, two is counting up the instances at each combination, and three is displaying the results in a useful manner.

Another option:

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Then pull down & filter column C for >1, or slap the ">1" on the end of the equation and filter for TRUE; both of which would display the full count of rows, so all three "Example 3" & "Grape" combos.

(In either case you would be well-served to insert a header row above the data).

But I think the PT is probably going to be more intuitively informative and probably more robust.