Answer:

(i) To find out how many candidates passed in all three subjects, you can use the principle of Inclusion-Exclusion.

Start with the total number of candidates who passed in each subject:

- Passed in Science (S): 600

- Passed in Mathematics (M): 700

- Passed in English (E): 350

Now, add the candidates who passed in two subjects:

- Passed in Science and Mathematics (S ∩ M): 200

- Passed in Science and English (S ∩ E): 150

- Passed in Mathematics and English (M ∩ E): 100

Now, subtract the candidates who passed in exactly two subjects from the total passed in each subject:

- Total passed in Science minus (S ∩ M + S ∩ E) = 600 - (200 + 150) = 250

- Total passed in Mathematics minus (S ∩ M + M ∩ E) = 700 - (200 + 100) = 400

- Total passed in English minus (S ∩ E + M ∩ E) = 350 - (150 + 100) = 100

Now, we need to find out how many candidates passed in all three subjects:

Total candidates who passed in all three subjects = Total passed in Science + Total passed in Mathematics + Total passed in English - (S ∩ M ∩ E)

Total passed in all three subjects = 250 + 400 + 100 - (50) = 700 candidates passed in all three subjects.

(ii) Unfortunately, I can't create visual diagrams, including Venn diagrams, in this text-based format. However, you can draw a Venn diagram on paper or using software like Microsoft Word, Google Drawings, or any other graphic design tool. Label the circles as Science, Mathematics, and English, and use the numbers you've calculated to represent the various sets and their intersections.

Step-by-step explanation:

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