Given:
Total number of students = 27
Number of students presenting each day = 3
Number of students chosen = 3
Required: Probability that the students presenting that day are the chosen students.
Explanation:
Number of ways three students can be chosen from 27 students
[tex]\begin{gathered} =^{27}C_3 \\ =2925 \end{gathered}[/tex]
From the total 2925 combinations of three students, only one combination of students can do presentation on a day.
So, probability that the students presenting that day are the chosen students
[tex]=\frac{1}{2925}[/tex]
Final Answer: Probability that the students presenting that day are the chosen students is 1/2925.