A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of the program. EPR 616, Research in Child Development EPR 630, Educational Research Planning and Interpretation EPR 631, Nonparametric Statistics EPR 632, Methods of Multivariate Analysis EPR 645, Theory of Measurement EPR 649, Fieldwork Methods in Educational Research EPR 650, Interpretive Methods in Educational Research a. List all possible two-course selections.

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To find all possible two-course selections from the list of courses provided, we can use the concept of combinations. The number of ways to choose $$ r $$ items from $$ n $$ items without regard to the order of selection is given by the combination formula:

$$
C(n, r) = \frac{n!}{r!(n - r)!}
$$

In this case, we have $$ n = 7 $$ courses and we want to select $$ r = 2 $$ courses.

The courses are:
1. EPR 616, Research in Child Development
2. EPR 630, Educational Research Planning and Interpretation
3. EPR 631, Nonparametric Statistics
4. EPR 632, Methods of Multivariate Analysis
5. EPR 645, Theory of Measurement
6. EPR 649, Fieldwork Methods in Educational Research
7. EPR 650, Interpretive Methods in Educational Research

Now, let's calculate the number of combinations and list all possible selections.

First, we calculate $$ C(7, 2) $$:

$$
C(7, 2) = \frac{7!}{2!(7 - 2)!} = \frac{7 \times 6}{2 \times 1} = 21
$$

Now, we will list all the combinations of two courses:

1. EPR 616, EPR 630
2. EPR 616, EPR 631
3. EPR 616, EPR 632
4. EPR 616, EPR 645
5. EPR 616, EPR 649
6. EPR 616, EPR 650
7. EPR 630, EPR 631
8. EPR 630, EPR 632
9. EPR 630, EPR 645
10. EPR 630, EPR 649
11. EPR 630, EPR 650
12. EPR 631, EPR 632
13. EPR 631, EPR 645
14. EPR 631, EPR 649
15. EPR 631, EPR 650
16. EPR 632, EPR 645
17. EPR 632, EPR 649
18. EPR 632, EPR 650
19. EPR 645, EPR 649
20. EPR 645, EPR 650
21. EPR 649, EPR 650

Thus, the complete list of all possible two-course selections is provided above.
Here are all possible two-course selections: 1. EPR 616 & EPR 630 2. EPR 616 & EPR 631 3. EPR 616 & EPR 632 4. EPR 616 & EPR 645 5. EPR 616 & EPR 649 6. EPR 616 & EPR 650 7. EPR 630 & EPR 631 8. EPR 630 & EPR 632 9. EPR 630 & EPR 645 10. EPR 630 & EPR 649 11. EPR 630 & EPR 650 12. EPR 631 & EPR 632 13. EPR 631 & EPR 645 14. EPR 631 & EPR 649 15. EPR 631 & EPR 650 16. EPR 632 & EPR 645 17. EPR 632 & EPR 649 18. EPR 632 & EPR 650 19. EPR 645 & EPR 649 20. EPR 645 & EPR 650 21. EPR 649 & EPR 650

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