Question

1.An art teacher has supplies for her kids to use for their next art project. To complete this project each child selects:

one pencil color from a list of 12

one paper color from a list of 7

one glue type from a list of 2

either straight or zig-zag scissors

one fuzzy colored ball from 9 different colors

The art teacher wants to make sure that each child that participates has a different set of supplies. What is the maximum number of children that can participate in this project?

Answer 1

This is a question of combination. In other words it asks how many different combinations are possible to be obtained if one item is selected in each category.

So if there are n items in a category then 1 item can be selected in n ways. Since n​​​​​​C​​​​​1​=n.

Here we have 5 items Viz 12 pencil, 7paper ,2 glue, 2 scissors and 9 fuzzy balls.

So if we select one item from each set then to total different no of combination will be

12*7*2*2*9=3024.

So 3024 students can take part in the project.