mathmath333
  • mathmath333
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{ In the Suniti Building in Mumbai there are 12 floors plus }\hspace{.33em}\\~\\ & \normalsize \text{ the ground floor.9 people get into the lift of the building }\hspace{.33em}\\~\\ & \normalsize \text{ on the ground floor.The lift does not stop on the first floor.}\hspace{.33em}\\~\\ & \normalsize \text{ If 2,3 and 4 people alight from the lift on its upward }\hspace{.33em}\\~\\ & \normalsize \text{ journey,then in how many ways can they do so?(Assume}\hspace{.33em}\\~\\ & \normalsize \text{ they alight on different floors)}\hspace{.33em}\\~\\ & a.)\ 11C3 \times 3P3 \hspace{.33em}\\~\\ & b.)\ 11P3 \times 9C4 \times 5C3 \hspace{.33em}\\~\\ & c.)\ 10P3 \times 9C4 \times 5C3 \hspace{.33em}\\~\\ & d.)\ 12C3 \hspace{.33em}\\~\\ \end{align}}\)
anonymous
  • anonymous
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
mathmath333
  • mathmath333
I am having difficulty in interpreting the question

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anonymous
  • anonymous
well you see in 11P3 order is important
anonymous
  • anonymous
in 9P3 order doesnt matter any way would be fine
anonymous
  • anonymous
does that make sense ?
anonymous
  • anonymous
see there is total of 13 floors 12+ ground floor
mathmath333
  • mathmath333
i know order is important in permutation and order isn't important in combination
mathmath333
  • mathmath333
11p3 where this come from ?
anonymous
  • anonymous
i am coming to that
anonymous
  • anonymous
because you see they are already on the ground level and they skip the first floor
anonymous
  • anonymous
so 13 -2 =?
mathmath333
  • mathmath333
11 and 3 ?
anonymous
  • anonymous
3 is no of ppl leaving the lift
anonymous
  • anonymous
srry its not 3 ppl its 3 floors
anonymous
  • anonymous
i was thinking about 5C3
mathmath333
  • mathmath333
ok and how come 9C4
anonymous
  • anonymous
now selecting 4 ppl from 9 in 9C4
mathmath333
  • mathmath333
why r u selecting only 4 people
anonymous
  • anonymous
( if 2, 3 and 4 people alight from the lift)*
anonymous
  • anonymous
now only 8 remaining so now selecting 3 from remaining 5 in 5C3
anonymous
  • anonymous
ok in 11C3 , 11 floors and the reason i choose 3 floors because (2,3 and 4 ppl alight from the lift)
dan815
  • dan815
still need help?
mathmath333
  • mathmath333
yes
mathmath333
  • mathmath333
about 9C4 and 5C3
dan815
  • dan815
|dw:1442550398498:dw|
dan815
  • dan815
|dw:1442550724750:dw|
dan815
  • dan815
|dw:1442550796441:dw|
dan815
  • dan815
does it make sense
dan815
  • dan815
|dw:1442550935658:dw|
dan815
  • dan815
lets just go place my place, there are 4 spots and 9 people
dan815
  • dan815
|dw:1442550963765:dw|
dan815
  • dan815
9*8*7*6/4! = 9 choose 4
dan815
  • dan815
|dw:1442551022823:dw|
mathmath333
  • mathmath333
"lets just go place my place, there are 4 spots and 9 people" but where is given in que that their are 4 spots
dan815
  • dan815
2,3,4
dan815
  • dan815
is how they leave
dan815
  • dan815
you want to know the different groups of 2,3,4 that are possible
mathmath333
  • mathmath333
but 2,3,4 = 3 groups
dan815
  • dan815
yes but the 4 people that leave
dan815
  • dan815
which 4 people leave
dan815
  • dan815
people are not identical
dan815
  • dan815
from your 9 people there are 9 choose 4 ways of picking a group of 4 people that leave the elevator
mathmath333
  • mathmath333
ok
mathmath333
  • mathmath333
and 5c3

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