Question

In a small private​ school, five students are randomly selected from eighteen available students. What is the probability that they are the five youngest​ students?​

Answer 1

Answer:

1 / 8568

Step-by-step explanation:

The number of combinations is:

₁₈C₅ = (18! / (5! (18−5)!)

₁₈C₅ = 8568

There are 8568 possible groups of 5 that can be selected from 18.  Only 1 of those groups contains the five youngest students.  So the probability is:

P = 1 / 8568 ≈ 0.0117%