Choosing a committee of 3 from 10 people gives a larger number than choosing a president, secretary and treasurer from the same 10.

False

False. The committee is $\binom{10}{3} = 120$; the three distinct roles give $P(10,3) = 720$, six times more, because each committee can be assigned roles in 3! ways. The question to ask is always whether swapping two chosen items produces a different outcome.