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1.
In the vast majority of courses, admission is based solely on examination results; the available places are offered to those applicants with the
better results.
2.
To compare results, points are awarded for different grades. The points awarded for Leaving Certificate results are shown on Page 10 of the
CAO Handbook.
3.
To determine who should be offered places in a course, the applicants for that course are placed in order of merit. In other words, the
applicant with the highest points score (best set of results) is placed at the top of the list and the other applicants are placed in descending
order, according to their points score. The applicant with the lowest points score goes to the bottom of the list.
4.
The higher education institution will tell us to make a certain number of offers; for example, they may tell us that 200 offers are to be made
in a particular course.
5.
Who is entitled to the 200 offers ? Obviously, the 200 applicants at the top of the list, i.e. those with the higher points.
6.
Sometimes, however, a situation may arise where, for example, the 198th, 199th, 200th, 201st and 202nd applicants all have the same points
score but there are only 3 places available between them.
A decision has to be made about which 3 out of the 5 with equal points will be offered the final places. How is this decision made?
7.
Prior to the order of merit lists being drawn up, for each course for which she enters, each applicant is given a number which has been
generated at random by the computer. The random number is exactly that; it is not associated with the CAO Application Number; it does not
depend on when the applicant applied; it has no connection with anything. It is totally random, like lottery numbers.
8.
In the event of a tie on points, such as the five applicants competing for the last 3 places, then the random number of the applicants is taken
into account. In effect, the order among the five with the same points score is set by their random number; the applicant with the highest
random number goes first, followed by the one with the next highest random number, etc, and the applicant with the lowest random number
goes fifth. The three with the higher random numbers are offered the 3 available places and the other two applicants are placed at the top of
the waiting list.
           EXAMPLE
     LIST BEFORE BEING RE-ORDERED ACCORDING
         
        LIST AFTER BEING RE-ORDERED ACCORDING
                           
                           TO RANDOM NUMBER                                                                                     TO RANDOM NUMBER
Applicant
Position of
applicants
in points order
Random number
(relevant only for last
available places)
Applicant
Position of applicants
in points order
AND THEN IN RANDOM
NUMBER ORDER
Random number
(relevant only for last 
available places)
1
600
----
1
600
----
2
595
----
2
595
----
3
590
----
3
590
----
-----
-----
----
-----
-----
----
-----
-----
----
-----
-----
----
198
360
342
198
360
765
199
360
123
199
360
561
200
360
765
200
360
417
201
360
417
201
360
342
202
360
561
202
360
123
The three applicants with the higher random numbers are placed ahead of the two with the lower random numbers and those three are
offered the available places.
Examination rechecks
1.
The question sometimes arises as to what happens if an applicant has her results rechecked. She is upgraded so that she now has the
minimum points which were required for admission to a particular course, but random selection had operated at her revised points level. 
What is the applicant’s position ?
2.
It is simply a matter of looking at her random number which had been generated originally with all the other applicants for the course.
What if her random number is higher than that of the last person who was offered a place?
Obviously, if her revised results had been available at the time, she would have received an offer of a place because she would have been
higher on the list than the last person who actually got an offer.
3.
On the other hand, what if her random number is lower than that of the last person who was offered a place? 
Obviously, even if she had been in her revised position in the order of merit list for the course, she would not have been offered a place; her
random number was too low.
Naturally, her revised result does not now change her position because her random number is still too low.
The State Examinations Commission automatically notifies CAO of ALL changes in grades. These changes are then notified to the HEIs.
Random Number - How it Works