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In how many ways can the letters of the word CARPET be arranged

User Zapador
by
4.5k points

2 Answers

3 votes

Answer:

720

Step-by-step explanation:

you would be using permutation i believe

because carpet has 6 letters you have six placement options

_x_x_x_x_x_

if you can only use the letters once

you can put all letters in p1

so 6x_x_x_x_x_

but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last

so 6x5x4x3x2x1

i might be wrong but this has worked for me

User Iesus Sonesson
by
4.7k points
2 votes

Answer: In so many ways ;

  • acre
  • cape
  • care
  • carp
  • cart
  • cate
  • pace
  • pact
  • pare
  • part
  • pate
  • pear
  • peat
  • pert
  • prat
  • race
  • at
  • rapt
  • rate
  • reap
  • race
  • tape
  • tare
  • tarp
  • tear
  • tepa
  • trap

  • ace
  • act
  • ape
  • apt
  • arc
  • are
  • art
  • ate
  • cap
  • car
  • cat
  • cep
  • ear
  • eat
  • era
  • pack
  • par
  • pat
  • pea
  • pec
  • per
  • pet
  • rap
  • rat
  • rec
  • rep
  • ret
  • tap
  • tar
  • tea

And so on .

User Journeycorner
by
4.7k points