mathmath333
  • mathmath333
counting question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathmath333
  • mathmath333
In how man ways can 8 cars be arranged such that there are exactly 4 cars between 2 specified cars.
mathmath333
  • mathmath333
|dw:1440017302219:dw|
phi
  • phi
are the "2 specified cars" fixed in those "parking spots"? are we parking 8 cars or 6 cars?

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mathmath333
  • mathmath333
they are just fixed such that 4 cars are between them
mathmath333
  • mathmath333
|dw:1440017527636:dw| this diadram can also be possible
phi
  • phi
for each "2 car" situation, there are 6! ways to park the other cars. if we call the 2 cars A and B, there are 3 ways to park A and B with 4 spaces between them and if we swap them, another 3 so 6*6! ways
mathmath333
  • mathmath333
how did u get red six ->\(\color{red}{6}*6!\)
phi
  • phi
A _ _ _ _B_ _ _A_ _ _ _ B _ _ _ A _ _ _ _ B and then switch A and B for the other 3
mathmath333
  • mathmath333
oh i see thanks ,
mathmath333
  • mathmath333
can i count this one too B _ _A_ _ _ _ from right it has 4 distance
phi
  • phi
you want exactly 4 cars between 2 specified cars.
mathmath333
  • mathmath333
oh so i cant count that
phi
  • phi
no , that is exactly 2 cars between them, so it does not count
anonymous
  • anonymous
|dw:1440018099258:dw|
mathmath333
  • mathmath333
i got confused with that , earlier where number where used instead of cars in some previuos question
phi
  • phi
it can get confusing. people hate this stuff... it makes their heads hurt.

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