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# 4 letters are randomly selected from the word TRAMPLE. What

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Current Student
Joined: 29 Jan 2005
Posts: 5240
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4 letters are randomly selected from the word TRAMPLE. What [#permalink]  01 Oct 2005, 21:46
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4 letters are randomly selected from the word TRAMPLE. What is the probability that the 4 letters can be arranged to form the word TRAM?

A. 2/3
B. 1/15
C. 1/35
D. 1/12
E. 3/7
Manager
Joined: 15 Jul 2005
Posts: 105
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c) 1/35

there are 35 different combinations of the letters in 'trample' taken 4 at a time (7C4), only one of which has the letters 'TRAM'
Current Student
Joined: 29 Jan 2005
Posts: 5240
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OA is C.

I wasnt sure if TRAM could have been rearranged like MART, RATM, RAMT etc. but obviously it doesnt matter.
Intern
Joined: 03 Sep 2005
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I got c too. [#permalink]  03 Oct 2005, 00:44
I got c too but using the traditional
number of probable events/total events

Can you explain this working antmavel?

4/7*3/6*2/5*1/4 = 1/35
VP
Joined: 13 Jun 2004
Posts: 1119
Location: London, UK
Schools: Tuck'08
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no problem parikshat.

You know that you need 4 letters : T,R,A,M
Order is not important because it is said that you need letters that can be arranged to form the word TRAM. (Gmatt773)

There are 7 letters in total, 4 are ok and 3 are not ok for you.

so if you pick 4 letters
1st pick : positive outcome : 4 letters out of 7 letters
2nd pick : 3 letters out of 6
3rd pick : 2 letters out of 5
4th pick : 1 letter out of 4

4/7*3/6*2/5*1/4
Senior Manager
Joined: 14 Apr 2005
Posts: 418
Location: India, Chennai
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Re: PS Probability [#permalink]  04 Oct 2005, 02:20
GMATT73 wrote:
4 letters are randomly selected from the word TRAMPLE. What is the probability that the 4 letters can be arranged to form the word TRAM?

A. 2/3
B. 1/15
C. 1/35
D. 1/12
E. 3/7

Of the 7 letters we have to choose 4, this can be done in (7C4) ways = 35.

All these 35 words have 4 letters each. Of which, we are only interested with TRAM, so it is 1/35.
Re: PS Probability   [#permalink] 04 Oct 2005, 02:20
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