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

Mathematics

2 answers:

expeople1 [14]2 years ago

8 0

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 .

Karo-lina-s [1.5K]2 years ago

4 0

<h2>Answer:</h2>

720

<h2>Explanation: </h2>

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

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Which system of linear inequalities is graphed?

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Answer:

A) {x < −2

{y ≤ −x − 2

Step-by-step explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the rate of changes [slopes] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

$x < -2$ is the vertical line with a less than sign, so it gets the dashed line, whereas the other line has a less than or equal to sign, so this line gets the solid line.