Determine if items in multi-select dropdown match items in another list

I have a sheet 1 with a multi-select dropdown, eg, multiple names in one cell. I have another list of target names on a separate sheet 2, and I want to check which rows in sheet 1 contain the names on sheet 2, and how many names match in each row. So for example, if row 1 of sheet 1 contained the Names cell: Bob, Doug, Pete, and sheet 2 contained the list of names: Amy, Bob, Claire, Doug, Ed, Frank, George, Harriet, Irv, June - I would want to flag row 1 of sheet 1 with a "2" indicating 2 names in the Names cell matched the names from Sheet 2.

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