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

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

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New post 23 Sep 2010, 06:55
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A
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D
E

Difficulty:

  85% (hard)

Question Stats:

41% (02:39) correct 59% (03:21) wrong based on 29 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
[Reveal] Spoiler: OA

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Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128752 [0], given: 12182

Re: A set of 15 different word are given. In how many ways is it possible [#permalink]

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New post 23 Sep 2010, 07:00
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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


Hi, and welcome to Gmat Club.

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.

As for your question:

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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Re: A set of 15 different word are given. In how many ways is it possible [#permalink]

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New post 23 Sep 2010, 16:49
thanks Bunuel... sure willl keep in mind while posting next time

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Re: A set of 15 different word are given. In how many ways is it possible [#permalink]

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New post 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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Re: A set of 15 different word are given. In how many ways is it possible [#permalink]

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New post 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   [#permalink] 03 Oct 2017, 22:49
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