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in how many ways can 6 books be arrange on two shelves, such that there is at least 2 books on each shelve.
 2 years ago
 2 years ago
in how many ways can 6 books be arrange on two shelves, such that there is at least 2 books on each shelve.
 2 years ago
 2 years ago

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jacobmeirBest ResponseYou've already chosen the best response.0
from 6 choose 2 plus from 6 choose 3 plus from 6 choose 4 = 6*5/2 +6*4*3/(3*2) +6*4*3*2/(4*3*2)
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
are the books distinct or are they all the same.
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
dont say.. they just books i guess in general
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
then there are 3 main ways to put the books on the shelf xxxxxx xxxxxx xxxxxx each of which can be arranged 6! ways giving us a total of 6!*3=2160
 2 years ago

jacobmeirBest ResponseYou've already chosen the best response.0
wow he got way more arrangements then i did
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
well i was doing the combination.. like 6 choose 2 + 6 choose 3 +6 choose 4.. for the first shelf
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
that is just for the 1st shelf?
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
but if i multiply by two... i dont get ur answer tho
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
you par picking the number of books to be on the first shelf....you still need to arrange the books once you pick the number you want
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
you could do this...\[{6\choose 2}2!4!+{6\choose 3}3!3!+{6\choose 4}4!2!=2160\]
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
ohhh... u r multiplyinggg
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
mmm.. wait so i do this
 2 years ago

jacobmeirBest ResponseYou've already chosen the best response.0
from the way you wrote the problem, I doubt the arrangment on the shelf matters. I'd say the answer is 15 +20 +15 =50
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
the problem says: Ali has six books and she wants to put them on two shelves, such that there is at least two books on each shelf. in how many ways can she do this?
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
it should matter...when you are choosing you are selecting 2 or 3 or 4 specific books to be on the first shelf....if you are doing this where order does not matter then there are only 3 ways to do it.
 2 years ago

jacobmeirBest ResponseYou've already chosen the best response.0
abcd on top. abc ontop bc on top ac on top. that's more than 3 right there
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
2 books on the first 4 on the sec 3 books on the first 3 on the sec 4 books on the first 2 on the sec 3 wyas
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
ok,, i got that..im clear up to that point
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
otherwise you have an order and the answer is 2160
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
Zarkon i got the first part... but i dont get the second :(
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
dw:1323671862157:dw this part is correct u said... now i need to arrange them and u told me dw:1323671932238:dw to do this..
 2 years ago

ZarkonBest ResponseYou've already chosen the best response.2
it is not 30 it is 15 15*2!4!=15*2*1*4*3*2*1=720 ...
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
ohhh,, i see what i did wrong... :(... let me do it again
 2 years ago

anilorapBest ResponseYou've already chosen the best response.0
wowwww,, thanksssss u guys
 2 years ago
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