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GRE Prep Club Team Member
Joined: 20 Feb 2017
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All of the stocks on the over the counter market are designated by eit
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18 Oct 2022, 06:48
18 Oct 2022, 06:48
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Question Stats:
80% (01:31) correct
20% (01:41) wrong based on 5 sessions
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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. \(27(26)^5\)
A. \(2(26)^5\)
B. \(26(26)^4\)
C. \(27(26)^4\)
D. \(26(26)^5\)
E. \(27(26)^5\)
Re: All of the stocks on the over the counter market are designated by eit
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22 Oct 2022, 07:50
22 Oct 2022, 07:50
Expert Reply
In 4-digit code {XXXX} each digit can take 26 values (as there are 26 letters), so total # of 4-digits code possible is 26^4;
The same for 5-digit code {XXXXX} again each digit can take 26 values (26 letters), so total # of 5-digits code possible is 26^5;
Total: \(26^4+26^5=26^4(1+26)=27*26^4\).
Answer: C.
The same for 5-digit code {XXXXX} again each digit can take 26 values (26 letters), so total # of 5-digits code possible is 26^5;
Total: \(26^4+26^5=26^4(1+26)=27*26^4\).
Answer: C.
gmatclubot
Re: All of the stocks on the over the counter market are designated by eit [#permalink]
22 Oct 2022, 07:50
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