Question

a teacher wanted to fairly choose three students from a class of 27 to raise the schools flag.
he assigned each student a two - digit number from 01 to 27.
(lets consider \01\, \02\, etc. to be two - digit numbers.)
he then selected the following line from a random number table.
29621 66583 62966 12468 24205 14015 04014
starting from the left, he used the line above to form two - digit numbers as follows.
29 62 16...
using this new list and starting from the left, he chose three two - digit numbers from 01 to 27.
he skipped numbers he had already chosen, the number 00, and numbers greater than 27.
the students who were assigned these two - digit numbers were chosen.
which three students did the teacher choose?

Explanation:

Step1: Form two - digit numbers

Starting from the left of the random number line \(29621\ 66583\ 62966\ 12468\ 24205\ 14015\ 04014\), we form two - digit numbers: \(29\), \(62\), \(16\), \(66\), \(58\), \(36\), \(29\), \(66\), \(12\), \(46\), \(82\), \(42\), \(05\), \(14\), \(01\), \(40\), \(14\)

Step2: Select valid two - digit numbers

We skip numbers greater than \(27\) (\(29\), \(62\), \(66\), \(58\), \(36\), \(29\), \(66\), \(46\), \(82\), \(42\), \(40\)), the number \(00\) (not in our case) and already - chosen numbers.
The valid two - digit numbers (from \(01\) to \(27\)) are \(16\), \(12\), \(05\), \(14\), \(01\)

Step3: Choose the first three valid numbers

The first three valid two - digit numbers (from \(01\) to \(27\)) are \(16\), \(12\), \(05\)

Answer:

Student \(16\), Student \(12\), Student \(05\)