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# A set of 15 different word are given. In how many ways is it possible

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Intern
Joined: 07 Sep 2010
Posts: 5
A set of 15 different word are given. In how many ways is it possible  [#permalink]

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23 Sep 2010, 06:55
1
00:00

Difficulty:

85% (hard)

Question Stats:

42% (02:19) correct 58% (02:54) wrong based on 38 sessions

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A set of 15 different word are given. In how many ways is it possible to choose a subset of not more than 5 words

A. 4944
B. 4^15
C. 15^4
D. 4943
Math Expert
Joined: 02 Sep 2009
Posts: 49303
Re: A set of 15 different word are given. In how many ways is it possible  [#permalink]

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23 Sep 2010, 07:00
holy wrote:
a set of 15 different word are given . In how many ways is it possible to choose a subset of not more than 5 words

a 4944
b 4^15
c 15^4
d 4943

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1 (empty subset) + 15C1 (choosing 1 word) + 15C2 (choosing 2 words) + 15C3 (choosing 3 words) + 15C4 (choosing 4 word)+ 15C5 (choosing 5 words)
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Intern
Joined: 07 Sep 2010
Posts: 5
Re: A set of 15 different word are given. In how many ways is it possible  [#permalink]

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23 Sep 2010, 16:49
thanks Bunuel... sure willl keep in mind while posting next time
Intern
Joined: 10 Oct 2010
Posts: 22
Location: Texas
Re: A set of 15 different word are given. In how many ways is it possible  [#permalink]

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11 Oct 2010, 04:23
holy wrote:
a set of 15 different word are given .

Bag of 15 choices.

holy wrote:
In how many ways is it possible to choose a subset

Combo box arrangement
(_)(_)(_)(_)(_)/5! OR xC5 OR x!/(x-5)!*5! OR xP5/5!

holy wrote:
of not more than 5 words

Table

# of words: Events
0: 1
1: (15)/1! = 15
2: (15)(14)/2! = 105
3: (15)(14)(13)/3! = 455
4: (15)(14)(13)(12)/4! = 1365
5: (15)(14)(13)(12)(11)/5! = 3003
---------------------------------------
Total = 4944
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Posts: 8153
Re: A set of 15 different word are given. In how many ways is it possible  [#permalink]

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03 Oct 2017, 22:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A set of 15 different word are given. In how many ways is it possible &nbs [#permalink] 03 Oct 2017, 22:49
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