Combinations please help ^^

52 card deck

In how many ways can you be dealt 3 kings and 2 other cards in a 5 card hand?
also
how many ways can you be dealt ANY 3 the same with 2 OTHER in a 5 card hand?

thank you :D

3 kings, 2 others:
------------------------
4c3 * 48c2 = 4512 <-------

any 3 of same kind & 2 others
-------------------- ---------------------
13c1*4c3*48c2 = 58,656 <--------

note well:
========
by "two others", i have taken it to mean any 2 cards (including a pair)
if pairs are to be excluded,the numbers will be
(a) 4c3*12c2*(4c1)^2 = 4224
(b) 13*the above = 54,912 <------