Yes, you can install Microsoft Office Home and Student on a new computer using your 2013 Product Key. During the installation process, you will be prompted to enter your product key, which will activate the software on your new device.
If you're looking for affordable options for seniors, you might consider Microsoft 365 subscriptions, which often come with discounts for seniors or educational institutions. Additionally, there are free alternatives to Microsoft Office, such as Google Workspace or LibreOffice, which provide similar functionality without the cost.
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