How many words are possible using the letters in the word *APPLE*.
a)the letters may not be repeated.
b)the letters may be repeated.

- uri

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- anonymous

a) we have 5 spots to fill
for the first spot we have 5 letters for the second we have 4 letters, for 3rd 3 for 4th 2 and for 5th we have 1
so 5*4*3*2*1= 120 ways

- dan815

what length of words do you want for b?

- dan815

and for a) it is 5!/2 because of the 2Ps

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## More answers

- uri

@dan815 It says letters should not be repeated.

- dan815

yes which is why u divide by 2

- uri

@dan815 don't get you,wasn't @Farheen28 right?

- dan815

no

- dan815

|dw:1371467640947:dw|

- uri

-_-

- dan815

and for b)
if you want to make another 5 letter word

- dan815

then about how many unique letters you have
you have 4 unique letters so |dw:1371467724548:dw|

- uri

So won't it be 4 letter's word for a because there are 2 p's?

- dan815

no I think a) is asking you if you have given 5 letters, how can you arrange these 5 letters to make different arrangements of words

- dan815

but b) is asking you given these 5 letters or 4 unique letters, how many words can i make, but this question needs to tell you the length of the word we are talking about here

- anonymous

thats exactly wat i thought.

- dan815

it probably means 5 letters tho, so its 4^5

- uri

SO how we make different arrangments of words for a? :3

- anonymous

yea in context with the question...

- anonymous

sorry my internet connection had some problem so i wasn't able reply.

- anonymous

(5.4.3.2.1)/(2.1)

- uri

@chris00 why *(2.1)?

- anonymous

5 factorial/2factorial

- anonymous

which is still 2

- anonymous

2 factorial =2x1=2

- uri

FROM WHERE IS IT COMING,EXPLAIN!

- anonymous

because u have two P's in APPLE

- uri

How do you know we have to do it like THAT!!

- dan815

lol

- dan815

here lets look at simpler examples

- anonymous

otherwise it's repeated which we don't want!

- anonymous

for a)

- uri

OKAAYYYY YOU SMARTY!!!

- anonymous

loooool

- dan815

haha

- uri

So (5.4.3.2.1)/(2.1) =60 :) for a.

- uri

@chris00 Hey you,explain me b :3

- dan815

|dw:1371468141604:dw|

- uri

i know...

- dan815

|dw:1371468244828:dw|

- anonymous

assuming we still have 5 spots to fill yea...because APPLE has 5 letters right? then the question is using repeated letters...SO 5 LETTERS, how many words can be written?

- dan815

lol

- uri

(5.4.3.2.1)

- anonymous

nono lets use dans method|dw:1371468455755:dw|

- anonymous

how many letters can go in each position?

- uri

3?

- dan815

URI how many 3 digit numbers are there??

- uri

hey you,don't yell at me,i say what i want.

- dan815

no one is yelling at you

- uri

Okay umm idk...how many 3 digit numbers are there,like i don't understand.

- dan815

okay how many 1 digit numbers are there?

- dan815

0,1,2,3,4,5,6,7,8,9

- anonymous

here i got a easy question.

- anonymous

listen everyone. even god.

- anonymous

How many 3 letter words can be formed using the letters c,a,t allowing for repetition of the letters?

- anonymous

There are 3 letters which can be used to fill the first location. Because repetition is allowed, the same 3 letters can be used to fill the second location and also the last location.

- uri

tca
cta
atc

- dan815

27

- dan815

i see the problem now

- anonymous

u can repeat letters though!

- dan815

she doesnt know what repetition is

- uri

^

- anonymous

ccc
caa
ctt
cat
cta
cac
ctc
cca
cct aaa
acc
att
act
atc
aca
ata
aac
aat ttt
taa
tcc
tac
tca
tct
tat
ttc
tta

- uri

but you're repeating letters.

- dan815

u missing 1

- dan815

bahaha

- anonymous

YES! we are allowed to do that!

- anonymous

b) the letters may be repeated

- uri

Oh got it now,SMART!!

- anonymous

WOOOOOOOOO

- anonymous

PARTY TIME

- dan815

NOT YET

- anonymous

|dw:1371468852096:dw|

- dan815

ANSWER QUESTION NOW
APPLE
how many
repeated words?

- anonymous

|dw:1371468868401:dw|

- uri

SO i have to tell how many words can be made with the word *APPLE* and we can repeat letters.

- anonymous

|dw:1371468908068:dw|

- anonymous

LOOOOL

- uri

Hey Y u spam

- anonymous

coorrect

- anonymous

u can have AAAAA as an arrangement

- anonymous

EEEEE

- dan815

no wrong u noob i will beat u

- uri

let me do it!!

- dan815

APPLE has 4 unique letters so 4^5 is ur answer

- anonymous

there is too many to do!

- anonymous

oops. mi bad

- uri

Okay is there any easy way to do it?

- anonymous

i was still in party mode

- dan815

no it cant get easier than this lol

- dan815

this is easiest WAY possible

- anonymous

this is the easiest.

- dan815

can 1+1 get any easier

- anonymous

writing each arrangement is the hardest

- uri

So i have to make
aaaaa
ppppp
llllll like this?

- anonymous

|dw:1371469063254:dw|

- uri

Oh i have to 4^5 =1024

- dan815

URI answer this questiion
you have 4 brothers
they like to eat fruits and you like to eat vegatables
how many fruits and vegetables do you need if you all must eat a total of 500 vegetables and fruits, and you can eat a multiple of each othrs consumption

- anonymous

u can prove it to urself by writing each arrangement out.

- dan815

you can ONLY EAT a multiple of each othrs consumption

- uri

I have 2 brother's just so you know,and no I'm done with this one,Just tell me is the answer of b 1024,did i say correct?

- dan815

yes

- uri

Thankyou :3,You got into so much detail,trust me it was easy...if you have had expalined me like...@chris00

- anonymous

|dw:1371469337434:dw|

- anonymous

uri is a legend haha

- dan815

lol

- dan815

i will come to teach this person again

- anonymous

gd luck with permutations and repititions bro

- uri

Me? :3

- dan815

hahaha

- dan815

biggest noob at combinatorics ive seen yet

- anonymous

if there was a person called uri, how many ways can arrange this?

- dan815

hahaha

- uri

I'm a girl..and you know what? I'm doing Statistics for the first time,It's so new to me that i can't even pronounce *Statistics* correctly,I have this is 12th grade :D,I'm learning the basic from now!

- anonymous

wow i learnt that in yr 10.

- dan815

lol

- dan815

I learn this in grade 1

- anonymous

i learnt this when i started walking.

- dan815

hahahahaha jkkkk

- uri

Sureeeeeeeeeeeeeeeeee.

- dan815

my mother read combinatorics books to me out loud when i was in the womb

- dan815

when i was still only 2 cells

- anonymous

HAHAHAHAAHAHAHA

- dan815

i dont wanna say 1 cell because thats really pushing it lol

- anonymous

best line of the night

- dan815

hahahaha

- uri

Get out both of you.

- dan815

ok =[

- anonymous

have fun hun!. gd luck with everything!

- anonymous

hope u do well in your final yr!

- uri

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