As many as is required by law. At least one for each state the physician practices in. One for each individual location where he may dispense controlled substances from within the office, including samples of medications.
In short - it could be many and there appears to be no limit prescribed in law (no pun intended).
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A DEA form 41 is used in the disposal or destruction of a controlled substance. A registrant must file the form with the DEA and the DEA will further instruct the registrant on how to dispose/destroy the substance. Abood,Richard. Pharmacy Practice and the Law, 4th Ed. Jones and Bartlett Publishers, Inc. 2005.
This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.
Numbers are infinite.
There are an infinite number of numbers.
There are infinitely many such numbers.