(ii)
the order/sequence of the selected songs is not important.
On Defense Day, Teacher I compiles a list of 10 distinct national songs, while Teacher II prepares a separate list of 10 different national songs (with no overlap between the two lists). The principal needs to select 3 songs from Teacher I's list, and 3 songs from Teacher II's list. Determine the number of possible selection methods when:
the order/sequence of the selected songs is not important.
Discuss theoretical concepts, mathematical formulas, and architectural foundations.