Ehsan18
  • Ehsan18
In how many ways can 5 boys and 4 girls be seated on a bench so that the girls and the boys occupy alternate seats?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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Ehsan18
  • Ehsan18
@ganeshie8 @Preetha @Australopithecus
ganeshie8
  • ganeshie8
First arrange the \(5\) boys in \(5!\) ways : |dw:1434362511919:dw|
ganeshie8
  • ganeshie8
Next insert \(4\) girls in those gaps in \(4!\) ways |dw:1434362643409:dw|

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ganeshie8
  • ganeshie8
So the total possible ways are \(5!*4!\)
Ehsan18
  • Ehsan18
good thanks!
ganeshie8
  • ganeshie8
yw!

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