In a small private school three students are randomly selected from 18 available students what is the probability that

they are the three youngest students

1 / 816

Step-by-step explanation:

Step 1:

Given

Total number of students in the school = 18

Number of students randomly selected = 3

Step 2:

Number of ways in which 3 students can be selected out of 18 students is

C (18,3) = 18! / (3! (*18-3) !) = 18*17*16/3*2*1 = 816

Number of ways in which 3 students are selected and they are the youngest = 1

Hence the probability of selecting 3 youngest students from the available students is 1 / C (18,3) = 1 / 816