Directions: Study the following information carefully and answer the questions given below.
The table shows the number of players selected in Football, Basketball, and Athletics in five different institutes: Griffin Academy, Phoenix Sports Center, Falcon Training Institute, Titan Performance School, and Dragon Talent Hub.
| Institutes | Number of players selected in Football | Number of players selected in Basketball | Number of players selected in Athletics |
| Griffin | 15a | 18a | 21a |
| Phoenix | 15b | 14b | 18b |
| Falcon | 15b - 30 | 30c + 15 | 30c - 15 |
| Titan | 15a + 30 | 15c + 150 | 23c |
| Dragon | 18a | 30b + 30c - 30 | 38c + 30 |
Note - The total number of players selected from Griffin and Phoenix is 648 and 705 respectively and a:c = 3:2.
Find which of the following is true?
I. The difference between the number of players selected in Athletics in Griffin and Phoenix is 24.
II. The sum of players selected in all three sports together in Dragon is 1224.
III. The difference between the number of players selected in Football for Titan and Dragon is 6.