a teacher wanted to fairly choose three students from a class of 23 to raise the school’s flag. she assigned…

a teacher wanted to fairly choose three students from a class of 23 to raise the school’s flag. she assigned each student a two - digit number from 01 to 23. (let’s consider \01\, \02\, etc. to be two - digit numbers.) she then selected the following line from a random number table: 21215 91791 76836 58678 87054 31687 93205 starting from the left, she used the line above to form two - digit numbers as follows: 21 21 59... using this new list and starting from the left, she chose three two - digit numbers from 01 to 23. she skipped numbers she had already chosen, the number 00, and numbers greater than 23. the students who were assigned these two - digit numbers were chosen. which three students did the teacher choose?

a teacher wanted to fairly choose three students from a class of 23 to raise the school’s flag. she assigned each student a two - digit number from 01 to 23. (let’s consider \01\, \02\, etc. to be two - digit numbers.) she then selected the following line from a random number table: 21215 91791 76836 58678 87054 31687 93205 starting from the left, she used the line above to form two - digit numbers as follows: 21 21 59... using this new list and starting from the left, she chose three two - digit numbers from 01 to 23. she skipped numbers she had already chosen, the number 00, and numbers greater than 23. the students who were assigned these two - digit numbers were chosen. which three students did the teacher choose?

Answer

Answer:

To solve this, we analyze the two - digit numbers formed from the random number line:

Step 1: Extract two - digit numbers

The random number line is 21215 91791 76836 58678 87054 31687 93205. We form two - digit numbers from left to right:

  • First, from 21215: we get 21, 21, 15
  • Then from 91791: we get 91, 79, 91
  • Then from 76836: we get 76, 83, 36
  • Then from 58678: we get 58, 67, 78
  • Then from 87054: we get 87, 05, 54
  • Then from 31687: we get 31, 68, 87
  • Then from 93205: we get 93, 20, 05

Step 2: Filter valid numbers

We need two - digit numbers between 01 and 23 (inclusive), and we skip numbers we have already chosen, 00, and numbers greater than 23.

  • From the first set of numbers (21, 21, 15): 21 and 15 are valid (21 is within 01 - 23, 15 is within 01 - 23). But we will consider unique valid numbers as we go.
  • From the next sets, numbers like 91, 79, 91, 76, 83, 36, 58, 67, 78, 87, 05, 54, 31, 68, 87, 93, 20, 05:
    • 05: valid (01 - 23), but let's check the order.
    • 20: valid (01 - 23)
    • 21: we saw 21 earlier
    • 15: we saw 15 earlier

Now, we start picking numbers in order, skipping invalid ( > 23, 00, or already chosen) ones:

  1. The first valid number is 21 (from 21215)
  2. The second valid number is 15 (from 21215, since 21 is already chosen, next is 15)
  3. The third valid number is 20 (from 93205, after skipping all the invalid and already chosen numbers before it)

So the three students chosen correspond to the two - digit numbers 21, 15, and 20. If we assume the students are numbered 01 - 23, the students with numbers 15, 20, and 21 are chosen.

(Note: The final answer depends on how the students are associated with the two - digit numbers. If we assume the two - digit number is the student's number, then the three students are the ones with numbers 15, 20, 21)