Check the list of Cabinet members/officials here: https://en.wikipedia.org/wiki/Cabinet_of_the_United_States#Current_Cabinet_and_Cabinet-rank_officials
Please note that I'm including both the 15 "principal officers" and 10 "other members," for 25 total members (at least at the time of writing this description).
Interim appointments don't count. If Trump cycles through a whole Cabinet without getting Senate approval for any of them I will just resolve to 0. Ditto if he just doesn't appoint a Cabinet at all (lol).
Any Senate-confirmed members whose posts are eliminated WILL count toward the total, because they are effectively being laid off. Superficial changes (e.g., changing the title of the head of the EPA from "Administrator" to "Secretary") will not count toward the total as long as the same individual is kept in charge, the organization they lead fulfills largely the same function, and it remains a cabinet-level position.
The Vice President counts, even though they don't need Senate confirmation.
Deaths will not count.
Only ONE of the possible answers can resolve YES. Note that ">6" is not inclusive of 6.