A lottery director wanted to fairly choose four winners from a group of 41 participants.He assigned each participant a two-digit number from 01 to 41.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.11548 55865 07304 47090 23637 57011 52861Starting from the left, he used the line above to form two-digit numbers as follows.11 54 85 ...Using this new list and starting from the left, he chose four two-digit numbers from 01 to 41.He skipped numbers he had already chosen, the number 00, and numbers greater than 41.The participants who were assigned these two-digit numbers were chosen.Which four participants were selected as the winners?Participant, Participant, Participant, Participant
Question
A lottery director wanted to fairly choose four winners from a group of 41 participants.He assigned each participant a two-digit number from 01 to 41.(Let's consider "01", "02", etc. to be two-digit numbers.)He then selected the following line from a random number table.11548 55865 07304 47090 23637 57011 52861Starting from the left, he used the line above to form two-digit numbers as follows.11 54 85 ...Using this new list and starting from the left, he chose four two-digit numbers from 01 to 41.He skipped numbers he had already chosen, the number 00, and numbers greater than 41.The participants who were assigned these two-digit numbers were chosen.Which four participants were selected as the winners?Participant, Participant, Participant, Participant
Solution
The lottery director started from the left of the line and formed two-digit numbers. The first number is 11, which is within the range of 01 to 41, so the first winner is the participant assigned the number 11.
The next number is 54, but this is greater than 41, so it is skipped. The next number is 85, which is also greater than 41, so it is also skipped.
The director then moves to the next line of numbers, which starts with 07. This is within the range of 01 to 41, so the second winner is the participant assigned the number 07.
The next number is 30, which is within the range, so the third winner is the participant assigned the number 30.
The next number is 44, which is greater than 41, so it is skipped. The next number is 70, which is also greater than 41, so it is also skipped.
The director then moves to the next line of numbers, which starts with 90. This is greater than 41, so it is skipped. The next number is 23, which is within the range, so the fourth and final winner is the participant assigned the number 23.
So, the four winners are the participants assigned the numbers 11, 07, 30, and 23.
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