Question

1. concert nia and ciro are going to a concert with their high school’s key club. if they choose a seat in the row below at random, what is the probability that ciro will be in seat c11 and nia will be in c12? image of seats c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17

Explanation:

Step1: Count total seats

From C6 to C17, number of seats = \(17 - 6 + 1 = 12\).

Step2: Calculate permutations for two people

Total ways Nia and Ciro can sit: \(P(12,2)=\frac{12!}{(12 - 2)!}=12\times11 = 132\).

Step3: Favorable outcome count

Only 1 way (Ciro in C11, Nia in C12).

Step4: Find probability

Probability = \(\frac{\text{Favorable}}{\text{Total}}=\frac{1}{132}\).

Answer:

\(\frac{1}{132}\)