So I did this problem, but my answers seem way big, can anyone confirm or deny and help with these?

how many distinct 3 cycles are there in s12?

I got 440, doing 12!/(9!*3)

how many elements of order 35 in s12?

I got 13,685,760, doing (12!/5!*7)*5!/5 which is the same as 12!/35 obviously