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If there are eight varities of icecream to be tasted and judged in a c

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chetan2u
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If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 07:49
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If there are eight varities of icecream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
(A) 1/8!
(B) 3!/8!
(C) 5!/8!
(D) 1/3!
(E) 1/2!

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D
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 19:54
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chetan2u wrote:
If there are eight varities of icecream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
(A) 1/8!
(B) 3!/8!
(C) 5!/8!
(D) 1/3!
(E) 1/2!

self made


Responding to PMs,

It does not matter we are dealing with HOW many items in totality in such Qs..
WHAT matters is the number of items we want in a sequence..

say we had the other type of icecream as 1,2,3,4,,5..
and one way of eating them be 4,V,3,5,B,C,1,2..
Now keeping rest all at SAME place, we can interchange these 3-V,B,C- in 3! ways, BUT only 1 of these 3! will be in the sequence BVC..
THIS will be the case in all patterns. so the probability will be 1/3! irrespective of TOTAL items being 8 or 100..
ans D

Hope the LOGIC behind it is clear. Will be happy to assist incase of any further doubts
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 09:26
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8 flavors are too much. Lets try out only 3 flavors --> Black Currant, Vanilla, Chocalate

We can get Black Currant before Vanilla and Vanilla before Chocolate in only 1 way.
Probability = Possible/Total = 1/3!

Now lets consider 4 flavors --> BC, Van, Choc and X
Possibilities --> 1) BC, X, Van, Choc
2) X, BC, Van, Choc
3) BC, Van, Choc, X
4) BC, Van, X, Choc

Probability = 4/24 = 1/3!

Since the probability remains the same for both the cases, the probability will mostly remain true for the 8 varieties too.

Answer: D
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 20:09
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debbiem wrote:
chetan2u wrote:
chetan2u wrote:
If there are eight varities of icecream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
(A) 1/8!
(B) 3!/8!
(C) 5!/8!
(D) 1/3!
(E) 1/2!

self made


Responding to PMs,

It does not matter we are dealing with HOW many items in totality in such Qs..
WHAT matters is the number of items we want in a sequence..

say we had the other type of icecream as 1,2,3,4,,5..
and one way of eating them be 4,V,3,5,B,C,1,2..
Now keeping rest all at SAME place, we can interchange these 3-V,B,C- in 3! ways, BUT only 1 of these 3! will be in the sequence BVC..
THIS will be the case in all patterns. so the probability will be 1/3! irrespective of TOTAL items being 8 or 100..
ans D

Hope the LOGIC behind it is clear. Will be happy to assist incase of any further doubts


Yes sir the Q is clear. A very evil question i must say.
I request a bit of your help sir on the permutation/Combi/Probability concepts typ. Please post something for these 3 evil topics that lays out advance concepts and startegies because these 3 topics give most of the us goosebumps and sleepless nights.


Hi debbiem,
Good to see you in the early morning..
surely in another 3-4 hours, you will find some more EVIL Qs on the concepts on topic you have mentioned..
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 11:47
i chose c.
please let me know how the correct answer is solved for..
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   29 Apr 2016, 20:07
chetan2u wrote:
chetan2u wrote:
If there are eight varities of icecream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
(A) 1/8!
(B) 3!/8!
(C) 5!/8!
(D) 1/3!
(E) 1/2!

self made


Responding to PMs,

It does not matter we are dealing with HOW many items in totality in such Qs..
WHAT matters is the number of items we want in a sequence..

say we had the other type of icecream as 1,2,3,4,,5..
and one way of eating them be 4,V,3,5,B,C,1,2..
Now keeping rest all at SAME place, we can interchange these 3-V,B,C- in 3! ways, BUT only 1 of these 3! will be in the sequence BVC..
THIS will be the case in all patterns. so the probability will be 1/3! irrespective of TOTAL items being 8 or 100..
ans D

Hope the LOGIC behind it is clear. Will be happy to assist incase of any further doubts


Yes sir the Q is clear. A very evil question i must say.
I request a bit of your help sir on the permutation/Combi/Probability concepts typ. Please post something for these 3 evil topics that lays out advance concepts and startegies because these 3 topics give most of the us goosebumps and sleepless nights.
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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink] New post   10 Oct 2023, 07:02
Hello from the GMAT Club BumpBot!

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Re: If there are eight varities of icecream to be tasted and judged in a c [#permalink]
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