Progoti  Theatre ensemble is considering two male actor Jahangir and Kamal and three female actors Rehana,. Sarah and Tania to be cast in its upcoming mythological stage drama. The drama has exactly eight roles. The roles of king, soldier and barber are to be played by male actors and the roles of queen, housewife and maid servant must be played by a female actor The roles of a singer and a comedian can be played by actors of both genders. While assigning the roles the dircctor of the drama has to consider the following things: Each actor must play at least one role and it is understandable that some of the actors will play more than one role. The pairs of the roles below are the only pairs that do not require the actors playing the roles to be on the stage at the same time: appearances in these roles are spaced far enough apart to allow time for costume changes for actors playing more than one role. The roles of king and soldier The roles of barber and maid servant The roles of barber and singer The roles of queen and housewife The roles of queen and comedian The roles of housewife and comedian Rehana and Sarah cannot play roles that require them to be on stage at the same time. The director has a few options of the assignments of the roles of queen, housewife and maid servant respectively. Which of the following is an acceptable one?  

A    Rehana, Sarah and Tania

B    Rehana, Tania and Rehana

C    Rehana, Rehana and Rehana

D    Sarah and Tania and Rehana

Solution

Correct Answer: Option A

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