PREPARE dressing mix as directed on envelope. Place carrots in sealable plastic bag. Add dressing; seal bag. Refrigerate at least 2 hours or overnight, turning bag occasionally.
REMOVE carrots from bag, reserving dressing. Wrap 1 ham strip around 1 pickle half and 1 carrot half; secure with toothpick. Repeat with remaining ham, pickles and carrots.
SERVE with remaining dressing for dipping.