Question

How many permutations are there for the letters in the word LOLLIPOP?
1680
6720
10080
40320 i think i am missing a step or not because i think is d can you check my answer

Answer 1

Hold on while i check...

Answer 2

OK it is my last question and last test after this i can go on spring break

Answer 3

you have repeated letters, so you have to use a modified rule of n!

Answer 4

divide by the number of repeats , factorial

Answer 5

yeah I was wondering about that @perl . I didn't know if they were counting repeats or not

Answer 6

i know i just want to double check my answer

Answer 7

D is incorrect @onequestionatatime

Answer 8

$$
\Large \frac{n!} {n_1! ~ n_2! ~... n_k! } ~ , where~ n_1 + n_2 + ... n_k = n

$$

Answer 9

Like @perl said, you need to take that number you got, and divide it by the number of repeats.

Notice in LOLLIPOP
L repeats three times, O twice, and P twice

Answer 10

Does that make sense @onequestionatatime ?

Answer 11

yes

Answer 12

Okay. :)

Answer 13

Make sure that the repeats have the ! thingie applied to it (forgot what it's called)

Answer 14

$$
\Large \frac{8!} {3! ~ 2!~ 2!~1! }

$$

Answer 15

factorial :)

Answer 16

yea i am doing the math right now

Answer 17

i think i am doing this wrong or i got i right 3665.45

Answer 18

i had a feeling

Answer 19

can you get the denominator, that part is easy

Answer 20

easier*

Answer 21

You already have the numerator, cause that's answer choice D

Answer 22

11

Answer 23

No. Remember what 3! = 3 x 2 x 1

Answer 24

is the answer 6720

Answer 25

you divide D bye 6

Answer 26

$$
\Large \frac{8!} {3! ~ 2!~ 2!~1! }=\Large \frac{8\times 7 \times6 \times5 \times4 \times3 \times2 \times1} {(3 \times 2 \times1)\cdot (2\times1)\cdot(2\times1) \cdot1 }

$$

Answer 27

the denominator is 6 x 2 x 2

Answer 28

answer i got it this time it is A

Answer 29

1680