Permutations And Combinations Question 334

In a 12-storey house ten people enter a lift cabin. It is known that they will exit in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the lift does not stop at the second storey is

Options:

A) 78

B) 112

C) 720

D) 132

Show Answer

Answer:

Correct Answer: C

Solution:

Leaving the ground floors and second floor there are 10 floors in which three groups of people can leave the lift cabin in $ ^{10}P_3 $ ways, i.e. 720 ways.



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