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PS-Probability

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Senior Manager
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PS-Probability [#permalink]

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New post 25 Nov 2008, 22:06
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My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

a) 5%
b) 10%
c) 20%
d) 25%

Pl help me to solve this,

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Manager
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Joined: 05 Jul 2008
Posts: 136

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GMAT 2: 740 Q51 V38
Re: PS-Probability [#permalink]

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New post 25 Nov 2008, 23:08
vivektripathi wrote:
My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

a) 5%
b) 10%
c) 20%
d) 25%

Pl help me to solve this,

My choice is B (not sure).
The number of interchanged names equals to the number of combinations that you take 2 out of the 5 letters to interchange. (5C2 = 10)
So there will be 10 combinations or 10 interchanged names.
There is only 1 combination (interchange 2 Es) the name is still the same.
=> The probability is 1/10= 10% (not sure)

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Intern
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Joined: 04 Jun 2008
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Re: PS-Probability [#permalink]

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New post 26 Nov 2008, 00:09
10%

total interchanges possible = 5C2 = 10

no of interchanges in which name does not change = 1 (E interchanged with E)


so P= (1/10)*100 = 10%

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Director
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Re: PS-Probability [#permalink]

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New post 26 Nov 2008, 08:02
Agree with B

Other approach can be...total possible combinations = 20 (5*4*1*1*1)
The name remains same when EE is interchanged, 2 such combinations

2/20 = 10%

Kudos [?]: 208 [0], given: 0

Re: PS-Probability   [#permalink] 26 Nov 2008, 08:02
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