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That happened to me 6 or 7 years ago when I applied for an individual membership. After entering my personal information into the computer, the customer service representative informed me I was preapproved for a Sam's Club Discover card with a credit limit of $14,XXX (I believe the credit limits offered on the preapproved Discover card are much higher than those offered on the regular store-only Sam's Club credit card).
Periodically, at the registers, a cashier will inform you that you've been preapproved for either a Sam's Club Discover or Sam's Club regular credit card.