QQuestionEducation
QuestionEducation
"A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program. (a) List all possible two -course selections. (b) Comment on the likelihood that EPR 627 and EPR 631 will be selected. Select ten choices:
A. 627,678
B.605,631
C.631,631
D.605,678
E.627,634
F.610,678
G.605,627
H.610,627
I.627,631
J.605,605
K.605,610
L. 678,631
M. 605,605,610
N.610,631"
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Answer
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Step 1:: List all possible two-course selections.
C(12, 2) = \frac{12!}{2!(12-2)!} = \frac{12!}{2!10!} = \frac{12 \times 11}{2} = 66
There are 12 courses provided in the list. In order to form a two-course selection, we need to choose two different courses from the list. This can be done by selecting one course and then another course, as long as the second course is not the same as the first course. Since there are 12 courses, the number of ways to choose 2 courses out of 12 is given by the combination formula: Therefore, there are 66 possible two-course selections.
Step 2:: Comment on the likelihood that EPR 627 and EPR 631 will be selected.
Out of the 66 possible two-course selections, only one selection includes both EPR 627 and EPR 631 (selection I). Therefore, the likelihood that EPR 627 and EPR 631 will be selected is very low, specifically, it is 1 out of 66 or approximately 1.52%.
Step 3:: Select ten choices.
Here are ten possible two-course selections: A. EPR 627, EPR 678 B. EPR 605, EPR 631 D. EPR 605, EPR 678 E. EPR 627, EPR 634 F. EPR 610, EPR 678 G. EPR 605, EPR 627 H. EPR 610, EPR 627 I. EPR 627, EPR 631 (this is the only selection with both EPR 627 and EPR 631) J. EPR 605, EPR 605 K. EPR 605, EPR 610
Final Answer
There are 66 possible two-course selections, but the likelihood that EPR 627 and EPR 631 will be selected is very low, specifically, it is 1 out of 66 or approximately 1.52%. Here are ten possible two-course selections: A, B, D, E, F, G, H, I, J, K.
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