Step 1: Pyogenic flexor tenosynovitis is infection of the synovial sheath surrounding a flexor tendon.
Step 2: The flexor sheath of the thumb continues as the radial bursa, and the flexor sheath of the little finger continues as the ulnar bursa. These two bursae often communicate at the wrist via the space of Parona.
Step 3: Because of this connection, infection of the little finger sheath can track to the thumb (and vice versa), producing a "horseshoe" abscess. So option b is true.
Step 4: Option a is wrong - the digit is held in slight flexion (Kanavel sign), not extension. Spread to the index finger (c) is not the typical pathway, and treatment is usually surgical drainage with antibiotics, not conservative, so d is wrong.