8
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Question 8 • Fall 24 GMS Geometry: Concepts and Connections B

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? Select three options.Set X has 10 possible groupings.X YSet Y = {ABC, ABD, ABE, ACD, ACE, ADE}If person E must be in each group, then there can be only one group.There are three ways to form a group if persons A and C must be in it.

Question illustration
Answer
A
Set X has 10 possible groupings.
B
X Y
Option B
C
Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
D
If person E must be in each group, then there can be only one group.
E
There are three ways to form a group if persons A and C must be in it.
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