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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.

Respuesta :

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 =

[tex]\frac{1}{40320}[/tex] = 2.48 × 10⁻⁵

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