Textbook Problem

CONCEPTS

True or False?

(a) In counting combinations, order matters.

(b) In counting permutations, order matters.

(c) For a set on $n$ distinct objects, the number of different combinations of these objects is more than the number of different permutations.

(d) If we have a set with five distinct objects, then the number of different ways of choosing two members of this set is the same as the number of ways of choosing three members.