The constraint given in the question, specifying the days each person can
work reduces the number of days others can work.
Reasons:
The days and times at which the employees work, indicated with a plus sign are;
[tex]\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&+&+&+&+&+&&+\\Carla&+&+&+&&+&+&\end{array}\right][/tex]
Bjorn works on Wednesday, Thursday (he is the only one) and Sunday (he is the only one)
Therefore, we have;
[tex]\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&&&+&+&&&+\\Carla&+&+&+&&+&+&\end{array}\right][/tex]
Carla works on Tuesday (she is now the only one), Wednesday, and Friday or Saturday. She now cannot work on Monday
Which gives;[tex]\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&&&+&+&&&+\\Carla&&+&+&&+&+&\end{array}\right][/tex]
From the above table, Arif works on Mondays (he is the only one), Wednesday, and Friday, or Saturday.
Therefore;
The option that is possible is; Carla works Tuesdays, Wednesday, Saturday
The probable question options, are obtained from a university past question posted online
Learn more about word problem in mathematics here:
https://brainly.com/question/20495620