You’ve just finished making 3 batches of plastic tumblers: a red batch, a yellow batch, and a purple batch. there are 500 tumblers in each batch. you are now making sets of 3 tumblers that contain 1 tumbler of each color. how many sets can you make?

It depends how your gonna a solve the problem

The total number of possible sets is 125,000,000.

Step-by-step explanation:

3 batches of plastic tumblers are red batch, yellow batch, and purple batch.

There are 500 tumblers in each batch.

We need to make a set 3 tumblers that contain 1 tumbler of each color.

The possible ways to select r items from total n items is

The possible ways to select 1 red tumbler from 500 tumblers red is

The possible ways to select 1 yellow tumbler from 500 tumblers yellow is

The possible ways to select 1 purple tumbler from 500 tumblers purple is

Total possible ways to make a set of 3 tumblers that contain 1 tumbler of each color are

Therefore the total number of possible sets is 125,000,000.

We have that

1 batch red500 tumblers red
1 batch yellow500 tumblers yellow
1 batch purple500 tumblers purple

We have in total 1500 tumblers
I need to do sets that contain three tumblers of different color every set 1500/3=500
I can make 500 sets of 3 tumblers that contain 1 tumbler of each color every set