I assume based on your reference to .edu and your can-spam-act-of-2003 tag that you are interested in United States law. The scheme you describe is illegal under the CAN-SPAM Act.
(b) Aggravated violations relating to commercial electronic mail
(1) Address harvesting and dictionary attacks
(A) In general
It is unlawful for any person to initiate the transmission, to a protected computer, of a commercial electronic mail message that is unlawful under subsection (a), or to assist in the origination of such message through the provision or selection of addresses to which the message will be transmitted, if such person had actual knowledge, or knowledge fairly implied on the basis of objective circumstances, that—
(i) the electronic mail address of the recipient was obtained using an automated means from an Internet website or proprietary online service operated by another person, and such website or online service included, at the time the address was obtained, a notice stating that the operator of such website or online service will not give, sell, or otherwise transfer addresses maintained by such website or online service to any other party for the purposes of initiating, or enabling others to initiate, electronic mail messages; or
(ii) the electronic mail address of the recipient was obtained using an automated means that generates possible electronic mail addresses by combining names, letters, or numbers into numerous permutations.
The last part (ii) specifically forbids what you propose ("combining names... into various permutations).
Under 15 USC 7706 you may be liable for statutory damages of up to $250 per email.
In addition to being illegal, I suspect your plan will also be ineffective: this sort of spam attack would be really easy for the university to detect and block.