Set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three. Set Y is made up of the possible ways five students can be formed into groups of three if student A must be in all possible groups. Which statements about the situation are true? Check all that apply.
A) Set X has 10 possible groupings.
B) X Y Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
C) If person E must be in each group, then there can be only one group.
D) There are three ways to form a group if persons A and C must be in it.