Which of the following diseases is correctly matched to its pathogenesis?

a. OSTEOMYELITIS - type III and IV hypersensitivities
b. SENILE OSTEOPOROSIS - Obesity
c. RHEUMATOID ARTHRITIS - abscess, sequestrum, suppuration, involucrum
d. POST-MENOPAUSAL OSTEOPOROSIS - reduced lifetime estrogen exposure
e. OSTEOMALACIA - Increased vitamin D and therefore increased calcium absorption.