Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.
Step-by-step explanation:
Since we have given that
Number of days the meeting is going on = 3 days
Number of athletes = 117
Number of coaches = 7
Number of judges = 4
Number of bottles given to each athlete each day = 4
Total number of bottles total athlete for 3 days will get is given by

Number of bottles given to each coach each day = 3
Total number of bottles total coach for 3 days will get is given by

Number of bottles given to each judge each day = 2
Total number of bottles total judge for 3 days will get is given by

Number of cases of water bottle is given to athletes is given by

Number of cases of water bottle is given to coaches is given by

Number of cases of water bottle is given to judges is given by

We need to find the fewer number of cases that all athlete , all coaches and all judges will get

Hence, there are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.