There is no standard formula to do this, you can either create a UDF (User Defined Function) to use like a formula or just use code something like this:
Sub countcol()
Dim countred As Integer
Dim cell As Range
For Each cell In Range("a1:a20")
If cell.Interior.ColorIndex = 3 Then countred = countred + 1
Next cell
MsgBox countred
End Sub
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