Question

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

Answer 1

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 .

Answer 2

Answer:

720

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