I'm mostly curious to know if certain companies have numerous software and computer science related jobs and which types of companies would have very few.
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Most companies have software jobs available since everything runs with some sort of software nowadays. as you learn software, think first what culture you want to mesh with and second what problem you want to solve. engineering cultures differ from place to place. some places you'll be among other engineers and some places you'll be the only engineer. figure out which works best for you.
If not all, most companies have a software/IT department. You could apply for an IT job in any company.
It also depends on what kind of work you want to do. If you want to contribute to the product development side by using your software skills, you might want to apply to hard-core software companies like Microsoft. That way you could actually build software products.
If you want to use your software skills to support the business you could work for companies like- target, limited, chase and non-hardcore software companies.
I think logically, software companies like Microsoft would definitely have more number of IT positions than other companies.