Sam, most creationists admit that dinosaurs would have had to be on the ark, although it's not clear if they are "clean" or "unclean" so they
don't know if they had to go by twos or sevens.:^) Anyway, they try to deal with the space problem by suggesting that maybe juvenile dinos
were taken aboard, and maybe there were not very many "created kinds" of dinosaurs, even tho paleontologists have named several hundred different species.
Of course, they have enough trouble getting all modern species/"kinds" on the ark and explaining how 8 people managed to care for
them and their wastes for year. Almost all YECs also ignore the fact that besides dinosaurs, there were tens of thousands of other extinct land animals
(and probably many more we do not know about) which had to be taken as well. They also have
no plausible explanation (other than "must have
been a miracle") for how all the animals knew to migrate to the Ark, how almost all marsupials ended up in Australia afterward (did they
form a hiking/swimming club?), what the animals ate after debarking the ark (when all the ecosystems on earth would have been destroyed or at best
far different), how thousands of human-host specific diseases managed to survive the Flood (or how Noah and his family survived them
if they were infected all or even most of those diseases), how thousands of fish and invertebrate species that can only survive in narrow ranges of salinity,
turbulence, etc survived the Flood, among dozens of other major problems, not the least of which is all the evidence that the earth is 4.6
billion years old, not a few thousand, and that there never was a global flood.