To determine the minimum number of contestants who must perform based on the conditions provided, we need to analyze the logical dependencies among the contestants.
Analysis of Dependencies
Andrea must perform if either Christiane or Paulina performs.
Paulina must perform if Demi performs.
Demi must perform if either Iris or Zozibini performs.
Case 1: Demi Performs
If Demi performs, we need to check which other contestants must also perform according to the rules.
Paulina must perform because Demi performs (Rule 2).
Andrea must perform if Paulina performs (Rule 1).
So the chain is:
Demi → Paulina → Andrea
No other dependencies involve Christiane, Iris, or Zozibini, so they don't need to perform solely based on Demi performing.
Therefore, the minimum number of contestants who must perform if Demi performs is: 3
Case 2: Zozibini Performs
If Zozibini performs, we need to check which other contestants must also perform according to the rules.
Demi must perform because Zozibini performs (Rule 3).
Paulina must perform because Demi performs (Rule 2).
Andrea must perform if Paulina performs (Rule 1).
So the chain is:
Zozibini → Demi → Paulina → Andrea
Again, Christiane and Iris do not need to perform based solely on Zozibini performing.
Therefore, the minimum number of contestants who must perform if Zozibini performs is:4
Selections
Demi performs: 3 contestants
Zozibini performs: 4 contestants