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A teacher wanted to fairly choose three students from a class of 26 to raise the school's flag. He assigned each student a two-digit number from 01 to 26 (consider "01", "02", etc. to be two-digit numbers). He then selected the following line from a random number table:

[tex]\[
\begin{array}{lllllll}
43401 & 35924 & 28308 & 55140 & 07515 & 51354 & 19823
\end{array}
\][/tex]

Starting from the left, he used the line above to form two-digit numbers as follows:
[tex]\[
43, 40, 13, 35, 92, 42, 83, 08, 55, 14, 07, 51, 15, 51, 35, 41, 98, 23
\][/tex]

Using this new list and starting from the left, he chose three two-digit numbers from 01 to 26. He skipped numbers he had already chosen, the number 00, and numbers greater than 26. The students who were assigned these two-digit numbers were chosen.

Which three students did the teacher choose?

Student [tex]\(\square\)[/tex], Student [tex]\(\square\)[/tex], Student [tex]\(\square\)[/tex]



Answer :

GinnyAnswer
To solve the problem of selecting three students based on the provided random number table, let's follow the step-by-step process outlined in the question.

1. The random number sequence from the table is:
```
43401 35924 28308 55140 07515 51354 19823
```

2. We need to extract two-digit numbers from this sequence, starting from the left. The sequence of two-digit numbers becomes:
```
43, 40, 13, 59, 24, 28, 30, 08, 55, 14, 07, 51, 35, 19, 82, 23, ...
```

3. From this list, choose numbers that fall within the range 01 to 26. Also, skip any duplicates, the number 00, and any numbers greater than 26:
- 43: Greater than 26, skip.
- 40: Greater than 26, skip.
- 13: Valid.
- 59: Greater than 26, skip.
- 24: Valid.
- 28: Greater than 26, skip.
- 30: Greater than 26, skip.
- 08: Valid.
- 55: Greater than 26, skip.
- 14: Valid (but we've already chosen three students, so we stop here).

By following this selection method, the three chosen students correspond to the two-digit numbers as follows:
1. Student assigned to 13.
2. Student assigned to 24.
3. Student assigned to 08.

Therefore, the three students chosen by the teacher are:
- Student 13
- Student 24
- Student 08

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