To create new document library with defined content types please follow these steps:
Step 1: Open the site http://Contoso.com/(your SharePoint site)
Step 2: Go to Site Actions -> View All Site Contents -> Click on Create Icon
Step 3: This will open following popup, select Document Library and Specify Name to it.
Step 4: Click on Create will create a document library with Specified name.
Step 5: Now go to Document library (Site Actions -> View All site Content -> Click on the document library name)
Step 6: Click on Library Settings
Step 7: Click on Advance Settings
Step 8: Select option Allow management of content type “Yes” and click on ok button
Step 9 : Now, it will land to Library Settings Page with Content types enabled.
Step 10 : Click on “Add from existing site content types”
Step 11 : This will open following screen, add required document Content types and click on OK.
Step 12: This will complete Document Library creation with added content types.
PS: Example is given for SharePoint 2010, similar way one can create Document Library in SharePoint 2013.
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