#### Answer

120

#### Work Step by Step

Of the 7 places on the bench,
places 4 and 5 are taken by the counselor and the troublesome camper.
So, there are 5 places to be filled by 5 remaining campers.
1. The camper for the 1st place can be chosen in 5 ways.
2. The camper for the 2nd place can be chosen in 4 ways.
3. The camper for the 3rd place can be chosen in 3 ways.
4. The camper for the 4th place can be chosen in 2 ways.
5. The camper for the 5th place can be chosen in 1 ways.
The total number of arrangements is
$5\times 4\times 3\times 2\times 1=120$