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.

Set X has 10 possible groupings.

X Y

Set 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

Patch

Mathematics

19 July, 00:21

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.

Set X has 10 possible groupings.

X Y

Set 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.

+4

Answers (1)

Know the Answer?

Julissa Davies · Answer 1

1) it's a combination with n=5 & r=3 = = > 10 so set x=10

2) it's a combination with n=4 & r=2 = = > 6 set y is true

3) Sure, one group where E is always present

4) Indeed since it's a combination with n=3 & r=2==>3