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 lift does not stop to the second storey is

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 lift does not stop to the second storey is (A) 78 (B) 112 (C) 720 (D) 132

Tardigrade Admin · Accepted Answer

Leaving the ground floor and second floor, their are 10 floors in which three groups of people can left the lift cabin in 10P3 ways, i.e. 720 ways.

Q. 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 lift does not stop to the second storey is

78

112

720

132

Leaving the ground floor and second floor, their are 10 floors in which three groups of people can left the lift cabin in $^{10} P_{3}$ ways, i.e. 720 ways.

Q. 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 lift does not stop to the second storey is

78

112

720

132

Leaving the ground floor and second floor, their are 10 floors in which three groups of people can left the lift cabin in 10P3​ ways, i.e. 720 ways.

Leaving the ground floor and second floor, their are 10 floors in which three groups of people can left the lift cabin in $^{10} P_{3}$ ways, i.e. 720 ways.