Read the given information carefully and answer the related questions:

Seven persons – A, B, C, D, E, F, and G – participate in different activities in seven different months of the same year: January, April, May, July, September, October, and November. The activities are Cooking, Gardening, Photography, Painting, Swimming, Sculpting, and Writing. Gardening is done in a month having 30 days. Three persons perform their activities between D and the one who does Gardening. One person performs their activity between D and E. The number of persons performing activities after E is the same as the number of persons performing activities before the one who does Painting. F performs their activity immediately before the one who does Photography. More than three persons perform their activities between F and G, who does Writing. Swimming is done in a month having 30 days before D. Cooking is done before C, who does not do Swimming.

Which of the following combinations is incorrect?

The incorrect combinations are D - Swimming and F - Sculpting.

Step-by-Step Explanation:

1. Months and Number of Days:
January (31 days), April (30 days), May (31 days), July (31 days), September (30 days), October (31 days), November (30 days).
Months with 30 days: April, September, November.
Months with 31 days: January, May, July, October.

2. Determining the positions of D, Gardening, and Swimming:
Gardening is done in a month with 30 days (April, September, or November).
Three persons perform their activities between D and the one who does Gardening.
Swimming is done in a 30-day month before D, meaning D cannot be in January.
If Gardening is in April (2nd month), D must be in October (6th month) to leave 3 persons between them.
Since Swimming is done in a 30-day month before October, and April is occupied by Gardening, Swimming must be in September (5th month).

3. Determining the positions of E and Painting:
One person performs between D (6th month) and E, placing E in July (4th month).
There are 3 persons after E (5th, 6th, 7th months). Therefore, there must be 3 persons before the one who does Painting, placing Painting in July (4th month). Thus, E does Painting.

4. Determining F, Photography, G, and Writing:
More than 3 persons perform between F and G (who does Writing), implying a gap of 4 or 5 persons.
With positions 4 and 6 occupied by E and D, the only positions with a gap of 4 are 2nd month (April) and 7th month (November).
F performs immediately before Photography. Therefore, F must be in April (2nd month) and G in November (7th month).
This places Photography in May (3rd month). Thus, F does Gardening in April and G does Writing in November.

5. Determining C, Cooking, and Sculpting:
C does not do Swimming (5th month). Therefore, C is in May (3rd month) and does Photography.
Cooking is performed before C, placing Cooking in January (1st month).
The remaining activity for D in October (6th month) is Sculpting.

Final Schedule:
1. January (31 days): Cooking
2. April (30 days): F - Gardening
3. May (31 days): C - Photography
4. July (31 days): E - Painting
5. September (30 days): Swimming
6. October (31 days): D - Sculpting
7. November (30 days): G - Writing

Conclusion:
Evaluating the combinations given in the options:
- E - Painting: Correct
- D - Swimming: Incorrect (D does Sculpting)
- G - Writing: Correct
- F - Sculpting: Incorrect (F does Gardening)
- C - Photography: Correct

Thus, D - Swimming and F - Sculpting are the incorrect combinations.