Bunuel
Andrea, Christiane, Demi, Iris, Paulina, and Zozibini are six contestants in a reality TV show. On a special two-hour episode, some of these contestants will perform. Andrea must perform if either Christiane or Paulina performs. Paulina must perform if Demi performs. Demi must perform if either Iris or Zozibini performs. There are no other restrictions.
Select
Demi performs for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Demi’s performance and select
Zozibini performs for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Zozibini’s performance.
To determine the minimum number of contestants who must perform in the special two-hour episode under the given conditions, we need to analyze the dependencies specified:
1. Andrea must perform if either Christiane or Paulina performs.
2. Paulina must perform if Demi performs.
3. Demi must perform if either Iris or Zozibini performs.
Case 1: Demi Performs- Demi must perform.
- Since Demi performs, by rule 2, Paulina must perform.
- Since Paulina performs, by rule 1, Andrea must perform.
Thus, if Demi performs, the minimum number of contestants who must perform is:
- Demi
- Paulina
- Andrea
So, if Demi performs, at least 3 contestants must perform.
Case 2: Zozibini Performs- Zozibini must perform.
- Since Zozibini performs, by rule 3, Demi must perform.
- Since Demi performs, by rule 2, Paulina must perform.
- Since Paulina performs, by rule 1, Andrea must perform.
Thus, if Zozibini performs, the minimum number of contestants who must perform is:
- Zozibini
- Demi
- Paulina
- Andrea
So, if Zozibini performs, at least 4 contestants must perform.
Summary
- If Demi performs, the minimum number of contestants who must perform is 3.
- If Zozibini performs, the minimum number of contestants who must perform is 4.So the answers are:
- Select Demi performs- for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Demi’s performance.
- Select Zozibini performs- for the minimum number of contestants who must perform in the special two-hour episode if the episode includes Zozibini’s performance.