Question 276989
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There are 5 ways to select the business course.  For each of those ways, there are 3 ways to select the mathematics course, so that is 15 ways.  For each one of those ways, there are 6 ways to pick the first elective course.  Then presuming that she isn't going to take the same elective course twice, there are only 5 ways to pick the second elective course.  Then there are 8 ways to choose from 5 history or 3 social science courses.


All together:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 5\,\times\,3\,\times\,6\,\times\,5\,\times\,8]


You can do your own arithmetic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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