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Mathematics 10 Online
OpenStudy (thefluffmuncher):

Need help with combinations and permutations

OpenStudy (thefluffmuncher):

http://prntscr.com/74kk9u

OpenStudy (thefluffmuncher):

is that a combination or a permutation?

OpenStudy (thefluffmuncher):

i think its a permuation

OpenStudy (zarkon):

the albums are shuffled...so the order that you pick them does not matter

OpenStudy (thefluffmuncher):

what does that exactly mean?

OpenStudy (zarkon):

after you put the cd's in the player ...the player randomly pick a cd and then randomly pick a song.

OpenStudy (thefluffmuncher):

okay

OpenStudy (zarkon):

so it really doesn't matter what order you put the cd's in the player since they are going to be randomized

OpenStudy (thefluffmuncher):

so do i use this formula \[\frac{ n! }{ (n-r)!}\]

OpenStudy (zarkon):

that would be a permutation

OpenStudy (zarkon):

order matters in a permutation

OpenStudy (thefluffmuncher):

oh so i use combinations

OpenStudy (zarkon):

yes

OpenStudy (thefluffmuncher):

i don't really know the formula for combunations

OpenStudy (solomonzelman):

number of permutations is r! times greater than number of combinations:)

OpenStudy (zarkon):

\[\frac{n!}{r!(n-r)!}\]

OpenStudy (thefluffmuncher):

\[\frac{ 13!}{ 6!(7)!}\]

OpenStudy (thefluffmuncher):

like that?

OpenStudy (zarkon):

yes

OpenStudy (thefluffmuncher):

do i distribute?

OpenStudy (thefluffmuncher):

or what?

OpenStudy (zarkon):

distribute what?

OpenStudy (thefluffmuncher):

the 6 to the 7

OpenStudy (zarkon):

computer 6!,7! and 13!

OpenStudy (zarkon):

*compute

OpenStudy (thefluffmuncher):

13!=6227020800 6!=720 7!=5040

OpenStudy (thefluffmuncher):

that what got

OpenStudy (zarkon):

now compute \[\frac{13!}{6!\times 7!}\]

OpenStudy (thefluffmuncher):

1716?

OpenStudy (zarkon):

yes

OpenStudy (thefluffmuncher):

awesome thanks for explaining

OpenStudy (zarkon):

np

OpenStudy (thefluffmuncher):

so just to recap premutations=order matters combunations= order doesn't matter

OpenStudy (zarkon):

yes

OpenStudy (thefluffmuncher):

http://prntscr.com/74kym0 so this is a permutation correct

OpenStudy (zarkon):

yes

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