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andrealittrell
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probability question! 16 Sep 2007, 20:32
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hey guys, i just have a question that i need help with!
i am not sure how i would go about doing this.


A wheel is numbered 1-8. How many different spins can you make if you spin it 3 times that will add up to 16?





Thanks guys



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Fistail
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probability question! 16 Sep 2007, 22:08
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andrealittrell
hey guys, i just have a question that i need help with!
i am not sure how i would go about doing this.

A wheel is numbered 1-8. How many different spins can you make if you spin it 3 times that will add up to 16?

Thanks guys
Show more


so order doesnot matter.

8+7+1 = 16
8+6+2 = 16
8+5+3 = 16
8+4+4 = 16
7+7+2 = 16
7+6+3 = 16
7+5+4 = 16
6+6+4 = 16
6+5+5 = 16


got 9.
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ywilfred
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probability question! 16 Sep 2007, 22:34
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i got 10 ways


(1,7,8)
(2,6,8)
(3,5,8)
(4,4,8)
(5,3,8)

(2,7,7)
(3,6,7)
(4,5,7)

(4,6,6)
(5,5,6)
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GMATBLACKBELT
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probability question! 16 Sep 2007, 23:47
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Im kinda confused. Do we have to count additional options.

I.e 7,7,2 2,7,7 7,2,7???

If so I get 6^5*3^4 ---> 629,856

If not then I get 9 ways.

7,7,2
6,4,6
5,5,6
4,4,8

8,7,1
8,6,2
8,5,3

7,6,3
7,5,4
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Vlad77
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probability question! 17 Sep 2007, 03:35
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andrealittrell
hey guys, i just have a question that i need help with!
i am not sure how i would go about doing this.

A wheel is numbered 1-8. How many different spins can you make if you spin it 3 times that will add up to 16?

Thanks guys

so order doesnot matter.

8+7+1 = 16
8+6+2 = 16
8+5+3 = 16
8+4+4 = 16
7+7+2 = 16
7+6+3 = 16
7+5+4 = 16
6+6+4 = 16
6+5+5 = 16


got 9.
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I think it is 4*3!+4*3!/2!=4*3*2+4*3=24+12=36
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[email protected]
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probability question! 17 Sep 2007, 04:51
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I think it should be 42.
There are following combinations:
1 7 8 = 6 ways
2 7 7 = 3 ways
2 6 8 = 6 ways
3 5 8 = 6 ways
3 6 7 = 6 ways
4 4 8 = 3 ways
4 5 7 = 6 ways
4 6 6 = 3 ways
5 5 6 = 3 ways
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probability question! 17 Sep 2007, 04:58
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I think it should be 42.
There are following combinations:
1 7 8 = 6 ways
2 7 7 = 3 ways
2 6 8 = 6 ways
3 5 8 = 6 ways
3 6 7 = 6 ways
4 4 8 = 3 ways
4 5 7 = 6 ways
4 6 6 = 3 ways
5 5 6 = 3 ways
Show more


Agree, I have made wrong calculations:
5*3!+4*3!/2!=5*3*2+4*3=30+12=42
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andrealittrell
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probability question! 17 Sep 2007, 07:17
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thanks guys!
the answer is 42.. but i am still confused.. (i hate probability!)
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Vlad77
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probability question! 17 Sep 2007, 07:25
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andrealittrell
thanks guys!
the answer is 42.. but i am still confused.. (i hate probability!)
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I hate it as well!!!
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tuepo
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probability question! 17 Sep 2007, 09:33
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I had this question 4 days ago during my GMAT exame and it took me crazy. Where did you find it?

[quote="andrealittrell"]hey guys, i just have a question that i need help with!
i am not sure how i would go about doing this.


A wheel is numbered 1-8. How many different spins can you make if you spin it 3 times that will add up to 16?





Thanks guys[/quote]
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GMATBLACKBELT
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probability question! 17 Sep 2007, 09:46
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[email protected]
I think it should be 42.
There are following combinations:
1 7 8 = 6 ways
2 7 7 = 3 ways
2 6 8 = 6 ways
3 5 8 = 6 ways
3 6 7 = 6 ways
4 4 8 = 3 ways
4 5 7 = 6 ways
4 6 6 = 3 ways
5 5 6 = 3 ways
Show more


Why are we adding them? I got this too, but multiplied?
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Fistail
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probability question! 17 Sep 2007, 21:32
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I think it should be 42.
There are following combinations:
1 7 8 = 6 ways
2 7 7 = 3 ways
2 6 8 = 6 ways
3 5 8 = 6 ways
3 6 7 = 6 ways
4 4 8 = 3 ways
4 5 7 = 6 ways
4 6 6 = 3 ways
5 5 6 = 3 ways
Show more


nice work. fully agreed.


it was not so old oldiscussion, forgot so soon: https://www.gmatclub.com/forum/p368128#368128



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!