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Dropdown 1: Casey
Dropdown 2: registration
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:57) correct
27%
(02:08)
wrong
based on 125
sessions
History
Date
Time
Result
Not Attempted Yet
Six museum employees, Avery, Blake, Casey, Drew, Emery, and Flynn, must be assigned to three stations for a special event: registration, the exhibit hall, and the information desk. Each employee will work at exactly one station, and exactly two employees must be assigned to each station. A line in the graph connects two employees if and only if those employees cannot be assigned to the same station.
Select from each drop-down menu the option that completes the statement most accurately, assuming all of the constraints are satisfied.
If is assigned to registration, Blake must be assigned to .
Attachment:
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ShowHide Answer
Official Answer
Dropdown 1: Casey
Dropdown 2: registration
03 Sep 2026, 01:00
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Six museum employees, Avery, Blake, Casey, Drew, Emery, and Flynn, must be assigned to three stations for a special event: registration, the exhibit hall, and the information desk. Each employee will work at exactly one station, and exactly two employees must be assigned to each station. A line in the graph connects two employees if and only if those employees cannot be assigned to the same station.
Select from each drop-down menu the option that completes the statement most accurately, assuming all of the constraints are satisfied.
If is assigned to registration, Blake must be assigned to .
Official Solution:
Notice that Casey is connected to Avery, Drew, Emery, and Flynn. Therefore, Casey cannot be assigned to the same station as any of those four employees.
Thus, Blake is the only employee who can be assigned to the same station as Casey. Since exactly two employees must be assigned to each station, Casey and Blake must be assigned to the same station.
Therefore, if Casey is assigned to registration, Blake must also be assigned to registration.
This assignment is possible. For example:
Casey and Blake: registration
Avery and Drew: exhibit hall
Emery and Flynn: information desk
None of the pairs connected in the graph are assigned to the same station.
Therefore, the correct selections are:
Drop-down 1: Casey
Drop-down 2: registration.
General Discussion
26 Aug 2026, 03:44
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If Casey is assigned to registration, then Avery, Drew, Emery, and Flynn can't be assigned to registration.
It is so because of the given statement "A line in the graph connects two employees if and only if those employees cannot be assigned to the same station."
Hence, Blake must be assigned to registration.
It is so because of the given statement "A line in the graph connects two employees if and only if those employees cannot be assigned to the same station."
Hence, Blake must be assigned to registration.
