COUNT IF AND COUNT A

I need to count column C if cell equals "medicare" only on the same line column A has text. Column a is made up of names. I just don't need it to count medicare twice when it is listing two cases (column b) to the same patient (column a). (I do not need column b in the equation at all, just a ref point)

COLUMN A COLUMN B COLUMN C

DOLE, BOB ORIF TIB FX MEDICARE
FLUORO MEDICARE

SPEARS, BRIT CTR BXBS
CTS BXBS
FLUORO BXBS

DAD, YOUR SHOULDER SCOPE AETNA
CLAVICLE EXCISION AETNA