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# A certain company sells jellybeans in the following six

Author Message
Director
Joined: 29 Aug 2005
Posts: 778
A certain company sells jellybeans in the following six  [#permalink]

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09 Apr 2007, 00:17
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 10 sessions

### HideShow timer Statistics

A certain company sells jellybeans in the following six flavors only: b, c, g, l, p, s. If the jellybeans are sorted randomly into boxes containing exactly 2, 3, 4 different flavors only, what is the probability that any given box contain g jellybeans?

A 1/6
B 1/3
C 2/5
D 1/2
E 3/4

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Director
Joined: 13 Nov 2003
Posts: 771
Location: BULGARIA

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09 Apr 2007, 01:06
1
HI
Outcomes with g:
6C2-15 ways
6C3-20 ways
6C4-15 ways

or 50 ways in total

Outcomes withOUT g:
5C2-10 ways
5C3-10 ways
5C4-5 ways

or 25 ways in total
Required prob is 1-25/50=1/2
Senior Manager
Joined: 04 Mar 2007
Posts: 406

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09 Apr 2007, 09:13
Hi could u please explain it more?
I don't undersatnd why outcomes with g are
6C2-15 ways
6C3-20 ways
6C4-15 ways
For me 15 ways - combinations of any 2 flavours out of 6 (including or excluding g)
Senior Manager
Joined: 11 Feb 2007
Posts: 336

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09 Apr 2007, 23:37
Caas wrote:
Hi could u please explain it more?
I don't undersatnd why outcomes with g are
6C2-15 ways
6C3-20 ways
6C4-15 ways
For me 15 ways - combinations of any 2 flavours out of 6 (including or excluding g)

Outcomes with g are not 6C2, 6C3, 6C4.

They are ALL possible ways (including g) of containing 2, 3, 4 flavors per box.

To find out the outcomes with g, we have to subtract from the all outcomes the ways in which g is NOT included.

So it'd be:
6C2 - 5C2 = 5
6C3 - 5C3 = 10
6C4 - 5C4 = 10
25 ways in which g is contained.

Total 50 ways, so 25/50 = 1/2.

D

I think BG meant "total outcomes".
Non-Human User
Joined: 09 Sep 2013
Posts: 8848
Re: A certain company sells jellybeans in the following six  [#permalink]

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08 Oct 2017, 18:13
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Re: A certain company sells jellybeans in the following six &nbs [#permalink] 08 Oct 2017, 18:13
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