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All the stocks on the over-the-counter market are designated [#permalink]
20 Aug 2005, 07:28

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Difficulty:

5% (low)

Question Stats:

76% (01:00) correct
24% (00:07) wrong based on 25 sessions

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

A. 2(26^5) B. 26(26^4) C. 27(26^4) D. 26(26^5) E. 27(26^5)

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 the 26 letters of the alphabet. Which of the following gives the maximum number of different sotcks that can be designated with these codes?

a) 2(26^5)
b) 26(26^4)
c) 27(26^4)
d) 26(26^5)
e) 27(26^5)

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 the 26 letters of the alphabet. Which of the following gives the maximum number of different sotcks that can be designated with these codes?

a) 2(26^5) b) 26(26^4) c) 27(26^4) d) 26(26^5) e) 27(26^5)

it is unclear whether repetition is allowed or not.

if allowed c) 27(26^4) = 26^4 + 26^5 = 26^4 (1+26)

Gmatprep PS - Stocks [#permalink]
19 Aug 2007, 09:13

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 the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

a. 2(26^5)
b. 26(26^4)
c. 27(26^4)
d. 26(26^5)
e. 27(26^5)

Re: Gmatprep PS - Stocks [#permalink]
19 Aug 2007, 09:21

Piter wrote:

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 the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?

a. 2(26^5) b. 26(26^4) c. 27(26^4) d. 26(26^5) e. 27(26^5)

C.

Four letters have total of = 26*26*26*26 = 26^4
Five letters have total of = 26*26*26*26*26 = 26^5
Together, Total = 26^4 + 26^5 = 26^4 * (1+26) = 26^4 * 27

all the stocks on the over-the-counter market are designed by either a 4-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designed with these codes? a) 2(26^5) b) 26(26^4) c) 27(26^4) d) 26(26^5) e) 27(26^5)

All stocks on over the counter medication is designtaed by either 4 or 5 letter code created by using 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated using these codes.

A) 2(26 ^5) B)26(26^4) C)27(26^4) D)26(26^5) E)27(26^5)

All stocks on over the counter medication is designtaed by either 4 or 5 letter code created by using 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated using these codes.

A) 2(26 ^5) B)26(26^4) C)27(26^4) D)26(26^5) E)27(26^5)

4 letter code OR 5 letter code (OR means ADD)

ie 26*26*26*26 + 26*26*26*26*26

====> 26*26*26*26(26+1)

(26^4)(27)

C ??

_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

All stocks on over the counter medication is designtaed by either 4 or 5 letter code created by using 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated using these codes.

A) 2(26 ^5) B)26(26^4) C)27(26^4) D)26(26^5) E)27(26^5)

4 letter code OR 5 letter code (OR means ADD)

ie 26*26*26*26 + 26*26*26*26*26

====> 26*26*26*26(26+1)

(26^4)(27)

C ??

Yup. OA is C. I got the wording wrong. i thought that some numbers were codified with 2-letter code and some by 5-letter code. Idiotic mistake.

Amit, how true the GMAT Perp scores can be? I mean in math section, I got 14 wrong ( time constrain), though in first 20 only 3 were incorrect and in verbal I got 8 incorrect ( 3 wrongs in first 20 ) yet I got 690. and my verbal score were low and math scores were high in that prep test.

All stocks on over the counter medication is designtaed by either 4 or 5 letter code created by using 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated using these codes.

A) 2(26 ^5) B)26(26^4) C)27(26^4) D)26(26^5) E)27(26^5)

4 letter code OR 5 letter code (OR means ADD)

ie 26*26*26*26 + 26*26*26*26*26

====> 26*26*26*26(26+1)

(26^4)(27)

C ??

Yup. OA is C. I got the wording wrong. i thought that some numbers were codified with 2-letter code and some by 5-letter code. Idiotic mistake.

Amit, how true the GMAT Perp scores can be? I mean in math section, I got 14 wrong ( time constrain), though in first 20 only 3 were incorrect and in verbal I got 8 incorrect ( 3 wrongs in first 20 ) yet I got 690. and my verbal score were low and math scores were high in that prep test.

GMATPrep scores are the closest. It uses the same algorithm as the real one ... I guess you got the tough ones wrong and had a string of wrongs .....

_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Can you explain why the four and five letter code has 26^4 and 25^5 different permutations? I thought I would have to work out a very complicated permutations formula on this problem in order to figure it out...

Can you explain why the four and five letter code has 26^4 and 25^5 different permutations? I thought I would have to work out a very complicated permutations formula on this problem in order to figure it out...

Coming to 4 letter code, each letter can be any one of the 26 alphabets. So total number ways of choosing 4 letters will be 26 x 26 x 26 x 26 = 26^4

Similarly 5 letter code we will have = 26^5

Total = 26^5+26^4 = 26^4(26+1) = 27 (26^4)

In case if no two letters of the code are same, then the first letter of the 4 letter code can be chosen in 26 ways, the second letter of the code can be chosen in 25 ways, third letter in 24 ways and the 4 letter in 23 ways. Hence in this case the total number of 4 letter codes will be 26 x 25 x 24 x 23