israel must choose two different elective classes next year. the list shows all the possible outcomes, in…

israel must choose two different elective classes next year. the list shows all the possible outcomes, in his order of preference.\nband and painting\npainting and chorus\nceramics and band\nband and drama\nchorus and ceramics\ndrama and chorus\nwhich statements are true? choose two correct answers.\nhe had to choose between chorus and ceramics.\nhe had to choose between band and chorus.\nhe had to choose between painting, ceramics, and drama.\nhe had to choose between chorus, ceramics, and painting.\nhe had to choose between band and drama.

israel must choose two different elective classes next year. the list shows all the possible outcomes, in his order of preference.\nband and painting\npainting and chorus\nceramics and band\nband and drama\nchorus and ceramics\ndrama and chorus\nwhich statements are true? choose two correct answers.\nhe had to choose between chorus and ceramics.\nhe had to choose between band and chorus.\nhe had to choose between painting, ceramics, and drama.\nhe had to choose between chorus, ceramics, and painting.\nhe had to choose between band and drama.

Answer

Brief Explanations:

Let's analyze each option:

  • Option 1: He had to choose between chorus and ceramics. Looking at the list of elective - class pairs: Band and painting, Painting and chorus, Ceramics and band, Band and drama, Chorus and ceramics, Drama and chorus. We can see that chorus and ceramics are two different classes that are paired with other classes. But there is no indication that he had to choose only between chorus and ceramics.
  • Option 2: He had to choose between band and chorus. Looking at the pairs: Band and painting, Painting and chorus, Ceramics and band, Band and drama, Chorus and ceramics, Drama and chorus. We can see that band is paired with painting, ceramics, and drama; chorus is paired with painting, ceramics, and drama. There is no indication that he had to choose only between band and chorus.
  • Option 3: He had to choose between painting, ceramics, and drama. Since each pair contains either painting, ceramics, or drama along with band or chorus. And he is choosing two - class pairs. If we consider the non - band and non - chorus classes (because band and chorus are also in multiple pairs), painting, ceramics, and drama are the classes that are in a situation where he has to make a choice among them (as they are paired with other classes in different combinations).
  • Option 4: He had to choose between chorus, ceramics, and painting. Chorus is paired with painting and ceramics, ceramics is paired with chorus and band, painting is paired with chorus and band. Since he is choosing two - class pairs, and these three classes (chorus, ceramics, painting) are in a situation where they are combined with other classes (band and drama) in different ways. So, he has to make a choice among them (as they are part of different two - class combinations).
  • Option 5: He had to choose between band and drama. Looking at the pairs: Band is paired with painting, ceramics, and drama; drama is paired with chorus. There is no indication that he had to choose only between band and drama.

Answer:

He had to choose between painting, ceramics, and drama; He had to choose between chorus, ceramics, and painting.