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# How many different combinations of outcomes can you make by

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How many different combinations of outcomes can you make by [#permalink]

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16 Jul 2003, 01:59
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How many different combinations of outcomes can you make by rolling three standard (6-sided) dice if the order of the dice does not matter?
(A) 24
(B) 30
(C) 56
(D) 120
(E) 216
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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16 Jul 2003, 03:30
Simply , 6*6*6 = 216.

As two dice are rolled it will be 6*6 = 36.
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 26

Kudos [?]: 212 [0], given: 0

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16 Jul 2003, 03:32
You didn't think I'd give you guys THAT easy a problem, huh?

Sorry, but (E) is the "sucker" answer.

Since "the order of the dice do not matter", X Y Z and Z Y X are the same result. The number of results is less than 216.

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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 26

Kudos [?]: 212 [0], given: 0

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16 Jul 2003, 14:10
Okay, here is a hint.

There are 3 categories of results and you must consider each.
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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16 Jul 2003, 17:35
It's 56.

1. You can have all three numbers be the same (e.g. 666, 555)
There are 6 ways this can happen
2. You can have two numbers be the same (e.g 66x, 55x, 44x)
There are 30 ways this can happen
3. You can have all three numbers be different)
There are 20 ways this can happen
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 26

Kudos [?]: 212 [0], given: 0

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16 Jul 2003, 22:36
jcohen76 wrote:
It's 56.

1. You can have all three numbers be the same (e.g. 666, 555)
There are 6 ways this can happen
2. You can have two numbers be the same (e.g 66x, 55x, 44x)
There are 30 ways this can happen
3. You can have all three numbers be different)
There are 20 ways this can happen

Beautifully done!

_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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Re: How many different combinations of outcomes can you make by [#permalink]

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27 Jul 2015, 09:12
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: How many different combinations of outcomes can you make by   [#permalink] 27 Jul 2015, 09:12
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