The 3 letters of the word hat plus one additional letter can create
many new valid English words e.g. heat, Utah etc.

a. How many?

b. Same question for "hat+2": like yacht, Tahoe etc.

Rem: The additional letter(s) may be (not need to be) one(or two) of the h,a,t letters, in case b. nothing precludes adding twice the same letter.

(In reply to some computer findings by Charlie)

At least seven words can be added to Charlie's list for
part A (42+):
hait, taha, tanh, tash, tath, thar, wath

At least thirty words can be added to Charlie's list for
part B (173+):
ahent, ahint, ashet, bahut, beath, chaft, chota, eathe, ethal, haint,
haith, hasta, hault, heast, hiant, haint, haith, hasta, hault, heast,
hiant, hoast, hutia, meath, tahli, thawy, thema, thrae, tuath, waths

Edited on July 17, 2016, 1:12 pm

Posted by Dej Mar on 2016-07-16 16:07:55