Question

Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock collection?
2 possible ways
3 possible ways
5 possible ways
6 possible ways

Answer 1

Answer:

The correct options are (2, 3 and 6).

Step-by-step explanation:

It is provided that Daniel has a rock collection of 18 rocks.

He wants to organize these 8 rocks into equal groups.

The factors of 18 are:

Factor (18): {1, 2, 3, 6, 9, 18}

A group is a selection of more than 1 items. So, there cannot be 18 groups.

And there cannot be 1 group, since then Daniel would not be organizing the rocks.

So, the possible ways Daniel line up his rock collection are {2, 3, 6 and 9}.

Thus, the correct options are (2, 3 and 6).