Question

The SaveMost mini market is open for 7 days a week and employs three part-time assistants who each work for 3 days a week. None of them works for three consecutive days but at least one of them is there each day.

Arif cannot work on Tuesdays, Thursdays or Sundays.
Bjorn cannot work on Saturdays.
Carla cannot work on Thursdays or Sundays.
They all work on Wednesdays.

Which of the following is possible

Answer 1

The constraint given in the question, specifying the days each person can

work reduces the number of days others can work.

• The possible option is; Carla works Tuesday, Wednesday, Saturday

Reasons:

The days and times at which the employees work, indicated with a plus sign are;

$\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&+&+&+&+&+&&+\\Carla&+&+&+&&+&+&\end{array}\right]$

Bjorn works on Wednesday, Thursday (he is the only one) and Sunday (he is the only one)

Therefore, we have;

$\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&&&+&+&&&+\\Carla&+&+&+&&+&+&\end{array}\right]$

Carla works on Tuesday (she is now the only one), Wednesday, and Friday or Saturday. She now cannot work on Monday

Which gives;$\begin{tabular}{l|c|c|c|c|c|c|c|}&Monday&Tuesday&Wednesday&Thursday&Friday&Saturday&Sunday\\Arif&+&&+&&+&+&\\Bjorn&&&+&+&&&+\\Carla&&+&+&&+&+&\end{array}\right]$

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

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https://brainly.com/question/20495620