How many ways can a student mark her answer sheet for a multiple

choice test if the first 3 questions have four choices for each question,

and the following 5 questions have three choices for each question and

only one choice is selected for each question?

A SUPERFECTA is a four horse bet, where one must pick the first,

second, third and fourth place horses in the exact order in which they

finish. In an six horse race, how many SUPERFECTA bets are possible?

Thanks for the help!