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If you get a co-branded Cap One card, yes. For cards in the upper tier (excellent Credit) you can have 5. For cards in the lower tier, 2 only. Check the terms and conditions of the card you want and it shoudl state it at the bottom. i use to have a Cap1 rewards, Secured cap 1, Sony Visa and Orbitz Visa. Two Co-Branded.
I think you can have up to 5.