To comply with laws regarding the use of personally identifiable information, a certain company must adopt a new way of determining its customer identification numbers (CIDs) in its customer records database. Proposals are being considered on the basis of the following principles:
Whichever proposal is adopted, the new CIDs will be issued to all former customers currently in the database.
This proposal satisfies database constraints and produces meaningful CIDs by using the first three allowable alphanumeric characters from the customer's email address followed by a portion of the timestamp of her first purchase. The example above shows that a customer with the email address ra9n@example.com and who made her first purchase 37 seconds past 9:42 in the morning would be assigned a CID of ra9094237.
This proposal is an extension of Proposal 1. Under this proposal, a customer's CID will consist of three parts in the following order:
How many 3-character alphanumeric sequences can appear as the 5th, 6th, and 7th characters of a valid CID under Proposal 2?