Question

В кабину лифта 9-ти этажного дома вошло 3 пассажира, каждый из них может выйти на любом из 8 этажей. Сколько способов разгрузки лифта, при которых на каждом этаже выходит не более одного пассажира?

Answer 1

Пассажиры лифта очевидно разные. Это просто размещение восьми этажей по трем пассажирам.
А(8;3)= 8*7*6= 336

Answer 2

Calculation of the Number of Unloading Methods in the Elevator

To calculate the number of ways the elevator can be unloaded, we need to consider the following:

- There are 3 passengers in the elevator. - Each passenger can exit on any of the 8 floors.

To find the number of ways the elevator can be unloaded, we can use the concept of combinations. Since each passenger can exit on any floor, we have 8 options for the first passenger, 8 options for the second passenger, and 8 options for the third passenger. Therefore, the total number of ways the elevator can be unloaded is the product of these options:

Total number of ways = 8 x 8 x 8 = 512

So, there are 512 ways in which the elevator can be unloaded, with each floor having no more than one passenger exiting.

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