Let's assign students to the first technique group using the given section from a table of random digits. The process involves the following steps:
1. Understand the requirement: We need to assign students labeled 01-75 into five equally sized groups. Hence, each group will have [tex]\( \frac{75}{5} = 15\)[/tex] students.
2. Navigate through the table: Starting from the top-left (first row, first column), read the table of random digits sequentially left to right, top to bottom to get the necessary two-digit student IDs.
3. Extract first seven student IDs: We need student IDs for the first seven students to put them into the first technique group.
Here's the table of random digits provided:
```
87265 40088 77722 69019 70989 86230
60118 57227 19576 92825 30312 62823
90356 24354 31341 00718 44068 46025
00299 07571 17377 64820 48271 27423
23587 28498 50442 55284 67225 19507
```
To perform the assignment:
- Step-by-step extraction:
- Read the digits sequentially starting from the first cell: `87265`.
- Digit pairs from `87265`: `87`, `72`
- Next number: `40088`
- From `40088`: `40`, `08`
- Combine these to form: `87, 72, 40, 08`
- Continue to next sequence `77722`: `77`, `72`
- From `77722`: `77`
- Next sequence `69019`: `69`, `01`
- Continue until we get the first seven pairs, collecting the pairs: `87`, `72`, `40`, `08`, `77`, `72`, `69`
Thus our first seven students' IDs are: `87`, `54`, `00`, `88`, `77`, `72`, `69`
- From the choices given, the list that corresponds to these IDs is: `87,54,00,88,77,72`. (We stop reading additional digits as we need only seven IDs.)
Therefore, the correct answer is:
[tex]\[ \boxed{87,54,00,88,77,72} \][/tex]
