Hey, this might be a simple question but i'm currently stuck on it, any help?

Athec220

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May 13, 2020
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At lunch, you are filling your tray with five things. There are three different vegetables, five different sides, two different entrees, two different desserts. You must pick one of the three types of milk (skim, 2%, or chocolate), but the other four choices can be any of the food options. For example, you could choose skim milk then the same dessert for ALL four options. How many ways can you fill your lunch tray?
 
Can you show us where you are stuck? What have you tried? Why are you unsure of the next step?

As I see it, you have 3 choices for the milk, and then it gets a little complicated, as you have combinations (assuming I'm right that it doesn't matter where on the tray an item goes) with repetition. Unless I'm missing something, this is not what I would call a simple question.

So we need to know what you know about combinatorics beyond the basics, that you can use. Also, where did the problem come from?

In other words, please follow our guidelines:
 
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