Question

There is a building of 6 floors. Four people enter the lift on the ground floor. Each of them can leave the cabin on any of the six floors beginning with the first floor. In how many ways they can leave the lift.
A. $ {{4}^{6}} $
B. 2420
C. $ {{6}^{4}} $
D. 24

Answer 1

Hint: We have given in the question that a building has 6 floors and four persons enter the lift in on the ground floor. As there is no restriction on their exit and they can exit from the lift, there are 6 ways for a person to leave the lift. Using this concept we get the desired answer.

Complete step by step answer:
We have been given that there is a building of 6 floors. Four people enter the lift on the ground floor. Each of them can leave the cabin on any of the six floors beginning with the first floor.
We have to find the number of ways they can leave the lift.
We have a number of persons = 4
Number of floors = 6
Now, there is no restriction on leaving the lift, so each person has 6 ways to leave the lift.
So, as there are 4 persons so the total number of ways they can leave the lift \[={{6}^{4}}\]
Option C is the correct answer.

Note:
Students may misinterpret the given information and take the remaining floors that a person can leave the lift as 5, which gives the incorrect answer. Here in this question options are given. As this is a question of probability so students must have a basic knowledge of probability to solve this type of question.