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I can get the total number of combinations, but the fastest

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Intern
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Joined: 05 Jul 2006
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Location: NY
I can get the total number of combinations, but the fastest  [#permalink]

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New post 16 Aug 2008, 22:07
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I can get the total number of combinations, but the fastest way to change it to the answer format...

All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)

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Director
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Joined: 27 May 2008
Posts: 530
Re: PS - Combination  [#permalink]

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New post 16 Aug 2008, 22:12
konclen wrote:
I can get the total number of combinations, but the fastest way to change it to the answer format...

All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)


fastest way...

i think there is only one way ..just take 26^4 common...

26^4 + 26^5
= 26^4(1+26)
=27(26^4) option C
Intern
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Joined: 05 Jul 2006
Posts: 19
Location: NY
Re: PS - Combination  [#permalink]

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New post 16 Aug 2008, 22:53
I actually approached the problem differently, albeit less efficiently =)

Thank you.
SVP
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Posts: 2419
Re: PS - Combination  [#permalink]

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New post 17 Aug 2008, 00:39
konclen wrote:
I can get the total number of combinations, but the fastest way to change it to the answer format...

All of the stocks on the over-the-counter market are designated by either a 4-letter or a 5-letter code that is created by using 26 letter of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

2(26^5)

26(26^4)

27(26^4)

26(26^5)

27(26^5)


Since repetation is allwoed, total codes = 26^4 + 26^5 = 26^4 (1+26) = 27 (26^4)

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Re: PS - Combination &nbs [#permalink] 17 Aug 2008, 00:39
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I can get the total number of combinations, but the fastest

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