The kids can choose 3 sides at the cafeteria, including a. fries, b.carrots, c. macaroni, d. broccoli, e. beans.

how many choices they have? and what are the probability that a child is going to pick macaroni, carrots and beans (together)?

I was thinking on the first place the kid can pick 5 things, the second choice 4 and last place 3 (because the combinations don't count, like beans-mac-carrot is the same as carrot-mac beans?

ignore and Skip this,please, I have to ask the teacher if they can pick the same sides multiple times or not, also if the order counts..

I will beg for help again tomorrow...

Yes, you are correct that the order in which the sides are chosen doesn't matter for this question. So, to calculate the number of choices the kids have, we can use the concept of combinations.

In this case, since each side can only be chosen once, and the order of the sides doesn't matter, we can use the formula for combinations. The formula for combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items you want to choose.

In this scenario, the kids have 5 sides to choose from (fries, carrots, macaroni, broccoli, beans) and they can choose 3 out of the 5. So, we can calculate the number of choices using the combination formula: 5C3 = 5! / (3!(5-3)!) = 5! / (3!2!) = (5 x 4 x 3!) / (3! x 2 x 1) = 10.

Therefore, the kids have 10 different choices at the cafeteria.

Now, let's calculate the probability that a child will pick macaroni, carrots, and beans together. Since the kids have 10 choices in total, the probability can be calculated by dividing the number of favorable outcomes (macaroni, carrots, and beans together) by the total number of possible outcomes (10).

To count the number of favorable outcomes, we need to consider that macaroni, carrots, and beans need to be chosen together. From the given options, we have 5C3 = 10 possible combinations, and out of these, only 1 combination has macaroni, carrots, and beans together.

So, the probability of picking macaroni, carrots, and beans together is 1/10.

Therefore, the probability that a child will pick macaroni, carrots, and beans together is 1/10.