This one is similar to the committee-selection problem.
How many ways can first and second awards and three honorable mention awards
be given to nine contestants?
I came up with 6,048. is this right? . Sorry, no
The first award can be given to any of the contestants.
The second award can be given to any of the other contestants.
The honorable mentions are given to three of the other seven contestants
. . in ways.
Therefore: . ways.