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# Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They

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Manager
Joined: 28 Jun 2018
Posts: 132
Location: Bouvet Island
GMAT 1: 490 Q39 V18
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GPA: 4
Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They  [#permalink]

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19 Jan 2019, 01:36
1
3
00:00

Difficulty:

45% (medium)

Question Stats:

46% (01:14) correct 54% (01:36) wrong based on 32 sessions

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Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They are seated in a line while taking the exam together. What is the probability that Ron and Charles are not sitting together?

(A) 1/3
(B) 1/8
(C) 1/12
(D) 1/2
(E) 1/4
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They  [#permalink]

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19 Jan 2019, 04:11
2
1
blitzkriegxX wrote:
Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They are seated in a line while taking the exam together. What is the probability that Ron and Charles are not sitting together?

(A) 1/3
(B) 1/8
(C) 1/12
(D) 1/2
(E) 1/4

You can make 4! arrangements with 4 people= 4!=24.
Now take two of them, R and C, as 1, so now there are 3 of them B, K, and (RC), and they can be arranged in 3! ways. Also each of this 3! ways can be made in 2 ways - RC or CR. Thus, 2*3!=12
so ways R and C are not sitting together is 24-12=12 and the probability is 12/24=1/2

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Re: Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They  [#permalink]

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19 Jan 2019, 04:13
1
blitzkriegxX wrote:
Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They are seated in a line while taking the exam together. What is the probability that Ron and Charles are not sitting together?

(A) 1/3
(B) 1/8
(C) 1/12
(D) 1/2
(E) 1/4

So here is Karishma's solution

The best way to solve a "not sitting together" question is to make them sit together.

Total ways of 4 people sitting together = 4! = 24
No of ways in which 2 will sit together = 3!*2! (arrange 3 people/groups in 3! ways and the two people together can be arranged in 2! ways) = 12
No of ways in which they will not sit together = 24 - 12 = 12

Required Probability = 12/24 = 1/2

Check this post for more: https://www.veritasprep.com/blog/2011/1 ... ts-part-i/
_________________

Karishma
Veritas Prep GMAT Instructor

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Re: Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They   [#permalink] 19 Jan 2019, 04:13
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# Charles , Bunuel , Ron and Karishma are appearing for the GMAT. They

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