Question

this question: 1 point(s) possible
a camp counselor and four campers are to be seated along a picnic bench. in how many ways can this be done if the counselor must be seated in the middle and a camper who has a tendency to engage in food fights must sit to the counselors immediate right?
there are □ way(s) this can be done.

Explanation:

Step1: Fix counselor's position

Total seats = 5 (1 counselor + 4 campers). Counselor is in middle (seat 3).

Step2: Fix trouble camper's position

Trouble camper sits immediately right of counselor (seat 4). 1 way to place this camper.

Step3: Arrange remaining 3 campers

Remaining 3 campers occupy seats 1,2,5. Number of permutations: $3! = 3\times2\times1=6$

Step4: Calculate total arrangements

Multiply valid permutations: $1\times1\times6=6$

Answer:

6