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You wish to create a compact portfolio of 11 different stocks. To improve diversification, you want to enforce a good variety of industries, so you

You wish to create a compact portfolio of 11 different stocks. To improve diversification, you want to enforce a good variety of industries, so you have decided on the following selection:

Industry Number of companies
Consumer goods 3
Healthcare 2
Manufacturing the rest

You are making your selection from the top 10 U.S. companies by market capitalization, in each of your target industries. How many different ways can you create your portfolio?

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