Hi Chari
In my neck of the woods these terms mean:
ticket and boarding pass - you buy a ticket for a flight from an agent, online site or the airline. When you check in you present your ticket and ID and you will be issued with a boarding pass allowing you to proceed to the next stage of the boarding process.
terminal and airport - sometimes they mean the same thing but usually an airport has many terminals (sections) and travellers must know which terminal (section of the airport) that their flight will depart from
carrousel and baggage claim - generally the carousel is the conveyor belt that the luggage is on while the baggage claim is the general area where arriving passengers go to collect their luggage (and report lost luggage)
cart and trolley - these mean the same thing. Cart is American and trolley is British
Cheers
Jayho
Douglas - we posted at the same time I think