Which is not a combination?
A. Choosing 3 toppings for your Pizza.
B. Lining 3 students up in a row.
C. Choosing 2 toppings from a tray of 10.
D. Choosing 5 students to represent a class of 30.
Is the answer D?
Thank you for your help.
I prefer B, where the order matters.
To determine which of the given options is not a combination, we need to understand what a combination means.
A combination refers to the selection of objects without considering the order in which they are arranged. In other words, for a combination, the order of the elements does not matter.
Now let's analyze the options:
A. Choosing 3 toppings for your Pizza: This is a combination because the order of the toppings does not matter.
B. Lining 3 students up in a row: This is not a combination because the order in which the students are lined up matters. It is a permutation, where the positions of the students determine different arrangements.
C. Choosing 2 toppings from a tray of 10: This is a combination because the order of the topping selection does not matter.
D. Choosing 5 students to represent a class of 30: This is also a combination because the order in which the students are chosen does not matter.
Therefore, the answer to your question is not D. In fact, the option that is not a combination is B, where lining up the students in a row involves considering the order.