In the Suniti Building in Mumbai there are 12 floors plus the ground floor.9 people get into the lift of the building on the ground floor.The lift does not stop on the first floor. If 2,3 and 4 people alight from the lift on its upward journey,then in how many ways can they do so?(Assume they alight on different floors)

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In the Suniti Building in Mumbai there are 12 floors plus the ground floor.9 people get into the lift of the building on the ground floor.The lift does not stop on the first floor. If 2,3 and 4 people alight from the lift on its upward journey,then in how many ways can they do so?(Assume they alight on different floors)

Mathematics
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\(\large \color{black}{\begin{align} & \normalsize \text{ In the Suniti Building in Mumbai there are 12 floors plus }\hspace{.33em}\\~\\ & \normalsize \text{ the ground floor.9 people get into the lift of the building }\hspace{.33em}\\~\\ & \normalsize \text{ on the ground floor.The lift does not stop on the first floor.}\hspace{.33em}\\~\\ & \normalsize \text{ If 2,3 and 4 people alight from the lift on its upward }\hspace{.33em}\\~\\ & \normalsize \text{ journey,then in how many ways can they do so?(Assume}\hspace{.33em}\\~\\ & \normalsize \text{ they alight on different floors)}\hspace{.33em}\\~\\ & a.)\ 11C3 \times 3P3 \hspace{.33em}\\~\\ & b.)\ 11P3 \times 9C4 \times 5C3 \hspace{.33em}\\~\\ & c.)\ 10P3 \times 9C4 \times 5C3 \hspace{.33em}\\~\\ & d.)\ 12C3 \hspace{.33em}\\~\\ \end{align}}\)
We can select the three floors in 11P3 . Then of the 9 people four can leave in 9C4 ways Three of the remaining 5 can be selected in 5C3 ways so 11p3*9c4*5c3
I am having difficulty in interpreting the question

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Other answers:

well you see in 11P3 order is important
in 9P3 order doesnt matter any way would be fine
does that make sense ?
see there is total of 13 floors 12+ ground floor
i know order is important in permutation and order isn't important in combination
11p3 where this come from ?
i am coming to that
because you see they are already on the ground level and they skip the first floor
so 13 -2 =?
11 and 3 ?
3 is no of ppl leaving the lift
srry its not 3 ppl its 3 floors
i was thinking about 5C3
ok and how come 9C4
now selecting 4 ppl from 9 in 9C4
why r u selecting only 4 people
( if 2, 3 and 4 people alight from the lift)*
now only 8 remaining so now selecting 3 from remaining 5 in 5C3
ok in 11C3 , 11 floors and the reason i choose 3 floors because (2,3 and 4 ppl alight from the lift)
still need help?
yes
about 9C4 and 5C3
|dw:1442550398498:dw|
|dw:1442550724750:dw|
|dw:1442550796441:dw|
does it make sense
|dw:1442550935658:dw|
lets just go place my place, there are 4 spots and 9 people
|dw:1442550963765:dw|
9*8*7*6/4! = 9 choose 4
|dw:1442551022823:dw|
"lets just go place my place, there are 4 spots and 9 people" but where is given in que that their are 4 spots
2,3,4
is how they leave
you want to know the different groups of 2,3,4 that are possible
but 2,3,4 = 3 groups
yes but the 4 people that leave
which 4 people leave
people are not identical
from your 9 people there are 9 choose 4 ways of picking a group of 4 people that leave the elevator
ok
and 5c3

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