Permutations And Combinations Question 334

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

Options:

A) 78

B) 112

C) 720

D) 132

Show Answer

Answer:

Correct Answer: C

Solution:

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