Question

how many ways can lgbasallote be rearranged with l staying as the first letter?

Answer 1

It's permutations, man!

Answer 2

907200? Not too sure...

I think it's \[10! \over 2!2!\]

Answer 3

10!*9!*8!*7!*6!*5!*4!*3!*2!

Answer 4

how did you get that formula @order

Answer 5

Or actually, we could do it like this -
_ _ _ _ _ _ _ _ _ _ ---> 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 10!

Answer 6

yeah i made mistake

Answer 7

Yes, it's 10!, but there are 2 as and 2 ls, so you put it over 2!2! I think

Answer 8

But this is something more like we have 3 L's in sallote.

Answer 9

will someone just tell me how not the step =_=

Answer 10

I mean 2 l's

Answer 11

i dont care about my l's i want the formula :/

Answer 12

There's no correct formula to permutations and combinations.. but it's easier just to play the number of letters over the number of similar letters...

Answer 13

okay...how did you arrive with 10! then

Answer 14

basallote has 10 letters

Answer 15

3 slots for the first.
Then just fill the slots and multiply.

Answer 16

^whut?!

Answer 17

I mean gbasallote has 10 letters

Answer 18

remove the I as it needs to stay in one place

Answer 19

3 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
= 3 * 8!

Answer 20

so let's say if it's find the number if ways lgbasallote can be rearrranged with l and e remaining in place...it's 9!

Answer 21

3 * 40,320
=> 120,960

Answer 22

^that guy is beginning to confuse me ...

Answer 23

@ParthKohli are you sure?

Answer 24

I am.

Answer 25

I learned arranging letters the other way...

Answer 26

See, we can have 3 different letters for the first alphabet. Then 8 different for 2nd, then 7 for 3rd and so on.

Answer 27

But for the word HAPPINESS it can be arranged

\[{9! \over 2!2!} = 90720\]

Answer 28

So, I'm pretty sure of my answer too...

Answer 29

@order We have to have an l in the first letter in this case. Your answer for that is correct.

Answer 30

L G B A S A L L O T E

L=3 A =2

L is fixed so

we can arrange the next ten letters in 10! ways

but there are 2L's & 2A's

So 10!/(2!*2!)

Answer 31

@order is Right!

Answer 32

@ParthKohli But the I is regardless, isn't it? I thought so....

Answer 33

so....?

Answer 34

I'll just go through my book again ~

Answer 35

So, I think you do as I said, and Diya... If Parth is right, I'm so sorry! may I ask, are you taking an exam?

Answer 36

Hey, listen. It'd be 120960 divided by 2!

Answer 37

60480 ---> Final answer.

Answer 38

Wait, why?

Answer 39

Or if you again think, it'll be further divided by 2! ===> 30240

Answer 40

Why 2! ?

Answer 41

I'll explain it. Wait for a minute please.

Answer 42

Sure!

Answer 43

can someone just tell me how to do these problems :P

Answer 44

We're figuring it out :D

Answer 45

lgba, twid me. I learnt it yesterday.

Answer 46

Ah, Ok. I'm doing a stats exam tomorrow, so I need to know the answer :D

Answer 47

Okay, I'll twid all of you.

Answer 48

http://www.twiddla.com/845844

Answer 49

lol why not here...other people need it

Answer 50

and im too lagged up for twiddla

Answer 51

Everyone can open the link

Answer 52

It'll be long...very long. Or, you can watch khanacademy.

Answer 53

@FoolForMath is it \[\frac{10!}{2!2!}\]

@ParthKohli ive already told you i have issues with khan

Answer 54

Yes.

Answer 55

The three L's are indistinguishable.