Question

In a small private​ school, 6 students are randomly selected from 17 available students. What is the probability that they are the six youngest​ students? (Type a simplified fraction).

Answer 1

Answer:

1/8910720

Step-by-step explanation:

Number of ways they can be chosen :

⇒ 17 × 16 × 15 × 14 × 13 × 12

⇒ 272 × 15 × 14 × 13 × 12

⇒ 4080 × 14 × 13 × 12

⇒ 57120 × 13 × 12

⇒ 742560 × 12

⇒ 8910720

Hence, the probability will be :

⇒ P = 1 / number of ways

⇒ P = 1/8910720