Sending, receiving, and organizing email in Outlook.com
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Are you using a personal Outlook.com account or a work/school Microsoft 365 account? Also, are you getting a specific error when trying to add another alias?
For a personal Outlook.com / Microsoft account, the usual limit is up to 10 active aliases on the account.
Microsoft also limits how often aliases can be added. Based on current Microsoft Q&A guidance, you can add up to 2 new aliases within 7 days, and up to 10 new aliases within a 365-day period.
Please note that deleting an alias does not always immediately free the yearly limit. Also, if you delete a Microsoft-domain alias like @outlook.com, @hotmail.com, @live.com, or @msn.com, it is permanently deleted and cannot be added again.