Question

A room contains 8 ​people, each of a different age. The people leave the room in random​ order, one at a time. What is the probability that they leave the room in ascending order of their ages​ (youngest to​ oldest)? The probability that they leave the room in ascending order of their ages is nothing.

Answer 1

Answer:

2.48 × 10⁻⁵

Step-by-step explanation:

Number of people in the room of a different age = 8 people

The number of ways people can leave the room  = 8!

                                                                                 = 40320

They leave the room in ascending order is  = 1 way

The probability they leave the room in ascending order of their ages =

$\frac{1}{40320}$ = 2.48 × 10⁻⁵