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anilorap
 3 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.
anilorap
 3 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.

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jacobmeir
 3 years ago
Best ResponseYou've already chosen the best response.0from 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)

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

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

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.2then 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

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

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

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

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

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.2you 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

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0ohhh... u r multiplyinggg

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0mmm.. wait so i do this

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0the 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?

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.2it 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.

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

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.22 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

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

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

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

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

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

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

anilorap
 3 years ago
Best ResponseYou've already chosen the best response.0wowwww,, thanksssss u guys
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