Countif cell has higher value than adjoining cells

The only straightforward way to do this in Excel requires adding columns to the table in A2:F15. Namely,

G4: =MAX(C4:F4)
H4: =MIN(C4:F4)

Select G4:H4 and fill down into G5:H15. Then,

C19: =SUMPRODUCT(($B$4:$B$15=$A19)*(C$4:C$15=$G$4:$G$15))

C24: =SUMPRODUCT(($B$4:$B$15=$A24)*(C$4:C$15=$H$4:$H$15))

Fill C19 right into D19:F19, and fill C24 right into D24:F24. You can them fill C19:F19 and C24:F24, respectively, down as far as needed.

Thanks hrlngrv,
That's perfect, and I can understand how it works now too
Really appreciate your response.