Step 1: Understanding runners.
Runners are horizontal stems that grow above the ground and help in vegetative propagation. They develop from the subaerial axillary buds of the stem.
Step 2: Analyzing the options.
(A) underground part of stem: Incorrect, runners typically grow above the ground.
(B) internodes of the stem: Incorrect, internodes are the regions between the nodes but are not directly involved in the formation of runners.
(C) subaerial axillary buds of the stem: Correct, runners originate from the subaerial axillary buds and spread horizontally.
(D) apical meristem: Incorrect, the apical meristem is responsible for vertical growth, not for producing runners.
Step 3: Conclusion.
The correct answer is (C) subaerial axillary buds of the stem.