SOLUTION: Five college engineering students are choosing specialized fields of engineering to study. Each student is allowed to select one field. The available fields are Electrical Engineer

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Question 541945: Five college engineering students are choosing specialized fields of engineering to study. Each student is allowed to select one field. The available fields are Electrical Engineering (EE), Mechanical Engineering (ME), and Computer Engineering (CE). If the second student does not meet the requirements for ME and the third student does not meet the requirment for CE, then how many ways are there for the students to choose an engineering field? Assume that there are 10 slots available for each of the three fields, and different students are allowed to choose the same field.

When I calculated it I got 3 X 2 X 2 X 3 X 3 = 108 but I feel like I am missing something i am not sure if it is correct need help please
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

As written, I believe that you have this one right.

You are using the multiplication principle correctly.

The fact that there are 10 slots for each field is not needed.

If they had said there were 4 slots available for each field, that would have been sufficient.

3%2A2%2A2%2A3%2A3=108 should indeed be the correct answer.

I hope this helps!