SOLUTION: a college offers nine different psychology courses, four different history courses , thirteen different math courses , and five different business courses. If a student is required

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Question 648731: a college offers nine different psychology courses, four different history courses , thirteen different math courses , and five different business courses. If a student is required to take one course in each of these four subjects , how many different ways are there for the student to fulfill this requirement? Show your work
Found 2 solutions by best82394, josmiceli:
Answer by best82394(4) About Me  (Show Source):
You can put this solution on YOUR website!
Hi. You want to find out how many ways that a student can take one of each class. So 9 psychology classes, four history, thirteen math, and five business courses.
To find the answer, you need to multiply all the numbers of a certain course there are available. In this case: 9*5*13*5=2925 ways.
To relate this to another problem:
Lets say that you want to make a sandwich. You have four meats, 2 kinds of bread, and 3 kinds of cheese. How many different sandwiches can you make with what you have. This problem is similar to the other problem, since you want to find the different possibilities of classes to take. The answer to this example is 4*2*3 or 24.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 history courses any 1 of which can be taken
with any 1 of 9 psych courses. That is
+4%2A9+=+36+
Any 1 of these 36 choices can be taken with any 1 of
13 math courses. That is
+36%2A13+=+468+ so far
Any 1 of these 468 choices can be taken with any 1 of
5 business courses. That is
+468%2A5+=+2340+ answer
or, you could write it in 1 line:
+4%2A9%2A13%2A5+=+2340+