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Mathematics 14 Online
OpenStudy (anonymous):

Find the permutations in the word football.

OpenStudy (zzr0ck3r):

This is similar to the last one. No matter how you rearrange the letters you will have, at first, 7 choices then 6 then 5 then 4...

OpenStudy (anonymous):

But there is 2 o's and 2 l's

OpenStudy (anonymous):

Would it be 720?

OpenStudy (zzr0ck3r):

It's still asking how many ways to rearange 7 things. thats 7!

OpenStudy (zzr0ck3r):

At least that is how I read it...

OpenStudy (anonymous):

Football is 8 letters not 7

OpenStudy (zzr0ck3r):

woops 8

OpenStudy (anonymous):

The answers are A)1,000 b)720 C)10,080 D)3,600

OpenStudy (anonymous):

Which one is it?

OpenStudy (zzr0ck3r):

right, we will get repeats if we do 8!

OpenStudy (zzr0ck3r):

there you go^^^ got to divide out those repeats... Sorry m8 its summer. :)

OpenStudy (zzr0ck3r):

Do you understand?

OpenStudy (anonymous):

So 10,080?

OpenStudy (zzr0ck3r):

correct

jimthompson5910 (jim_thompson5910):

agreed\[\Large \frac{8!}{1!*2!*1!*1!*1!*2!} = 10,080\]

OpenStudy (anonymous):

Thanks

jimthompson5910 (jim_thompson5910):

np

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