Groups, as used in the question represents a related set or quantity. Luke is correct because related groups can always be added or multiplied.
Take for instance;
A group of 3 students in each of the 5 classes in a school.
The total number of students, when joined together can be represented using addition as follows:
[tex]Total = 3 + 3 + 3 + 3 +3[/tex]
[tex]Total = 15[/tex]
The total number of students, when joined together can be represented using multiplication as follows:
[tex]Total = 3 \times 5[/tex]
[tex]Total = 15[/tex]
So, we can conclude that Luke is correct.
Read more about joining groups at:
https://brainly.com/question/4710535
