Illustrate, using at least three distinct examples, how advanced search operators like `site:`, `filetype:`, and `intitle:` can be combined to target specific information, formats, and sources, respectively.

Advanced search operators in Google are powerful tools that allow you to refine your queries beyond simple keyword searches, enabling you to find very specific types of information, file formats, and sources with greater efficiency. Combining these operators enhances your ability to target your search results precisely. Here are three examples illustrating how `site:`, `filetype:`, and `intitle:` operators can be combined:

Example 1: Finding specific research papers on a university website:

Let's say you're researching the impact of climate change on agriculture and you know that the University of California, Berkeley has a strong agricultural program. You want to find PDF files that include the phrase "climate change impacts" in their titles, published on the UC Berkeley website. You would combine the `site:`, `filetype:`, and `intitle:` operators in the following search query:

`site:berkeley.edu filetype:pdf intitle:"climate change impacts" agriculture`

In this query, `site:berkeley.edu` limits the search to only results from the UC Berkeley website. The `filetype:pdf` operator ensures that the results are only PDF documents. The `intitle:"climate change impacts"` requires that the exact phrase "climate change impacts" must appear in the title of the document, and the keyword "agriculture" further narrows down the search results to only documents that relate to agriculture. This combined use of operators significantly narrows the scope of the search to highly specific and relevant results, making it much faster to find research papers on the topic you want than if you were to just search "climate change impacts agriculture".

Example 2: Finding blog posts discussing data visualization techniques on a specific technology website:

Imagine you're interested in data visualization techniques using Python and you want to find blog posts on the Towards Data Science website, which is a popular online publication for data scientists. You want to find blog posts whose titles discuss specific techniques. You might use a query like this:

`site:towardsdatascience.com intitle:("data visualization" OR "data viz") "python" -tutorial`

Here, `site:towardsdatascience.com` restricts the search to the towardsdatascience.com website. `intitle:("data visualization" OR "data viz")` ensures that the words "data visualization" or "data viz" is present in the title of the articles. The term “python” ensures that you will get articles that are about data viz using Python. And "-tutorial" helps remove most tutorial-based articles that are less relevant to your search. The combination of these operators allows you to quickly find a narrow set of blog posts focused on the specific area of data visualization and technology that you're most interested in, saving a considerable amount of time and improving the relevance of the search results.

Example 3: Finding marketing reports from a specific company's website with the word "strategy" in the title in excel format:

Let’s say you are researching different marketing strategies and want to see how a specific company named "Global Marketing Solutions" approaches it. You are also specifically looking for marketing reports that have "strategy" in the title in excel file formats. You can combine site, filetype, and intitle operators in the following search:

`site:globalmarketingsolutions.com filetype:xlsx intitle:strategy marketing reports`

This query uses `site:globalmarketingsolutions.com` to restrict the search to only results from the specified company's domain. `filetype:xlsx` restricts the results to only excel documents (the most common file format for reports), and `intitle:strategy` makes sure that the word "strategy" is included in the document title. The search term "marketing reports" ensures that the document is related to the field of marketing. By using these operators together you can quickly pinpoint the documents you are looking for from the specified domain and file format instead of having to check many different documents one by one.

These examples show that combining `site:`, `filetype:`, and `intitle:` operators provides a targeted and efficient approach to searching on Google. By understanding and utilizing these operators strategically, users can drastically improve the quality of their search results and save a significant amount of time and effort.