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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.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.43401 35924 28308 55140 07515 51354 19823Starting from the left, he used the line above to form two-digit numbers as follows.43 40 13 ...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, Student, Student

Question

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.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.43401 35924 28308 55140 07515 51354 19823Starting from the left, he used the line above to form two-digit numbers as follows.43 40 13 ...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, Student, Student

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Solution

The teacher started from the left of the line and formed two-digit numbers. The first two-digit number is 43, but it's greater than 26, so it's skipped. The next number is 40, which is also greater than 26, so it's skipped as well. The next number is 13, which is within the range of 01 to 26, so the first student chosen is the one assigned the number 13.

Continuing along the line, the next number is 59, which is greater than 26 and is skipped. The next number is 24, which is within the range, so the second student chosen is the one assigned the number 24.

Continuing along the line, the next number is 28, which is greater than 26 and is skipped. The next number is 30, which is also greater than 26 and is skipped. The next number is 08, which is within the range, so the third student chosen is the one assigned the number 08.

So, the three students chosen are the ones assigned the numbers 13, 24, and 08.

This problem has been solved

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