Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 10 Mar 2014, 00:11

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Combinations of 4-letter and 5-letter codes

Author Message
TAGS:
Intern
Joined: 15 Mar 2010
Posts: 16
Followers: 0

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

Combinations of 4-letter and 5-letter codes [#permalink]  16 Nov 2011, 19:18
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:11) correct 12% (01:01) wrong based on 8 sessions
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?

1. 2(26^5)
2. 26(26^4)
3. 27(26^4)
4. 26(26^5)
5. 27(26^5)
[Reveal] Spoiler: OA
Manager
Joined: 11 Sep 2009
Posts: 129
Followers: 4

Kudos [?]: 132 [0], given: 6

Re: Combinations of 4-letter and 5-letter codes [#permalink]  16 Nov 2011, 20:21
Number of 4-letter codes: 26 * 26 * 26 * 26 = 26^4
Number of 5-letter codes: 26 * 26 * 26 * 26 * 26 = 26^5

Total Number of codes: 26^4 + 26^5 = 26^4 + 26*(26^4) = 27*(26^4)

Therefore, the answer is C: 27*(26^4).
Manager
Joined: 29 Oct 2011
Posts: 189
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Followers: 5

Kudos [?]: 64 [0], given: 19

Re: Combinations of 4-letter and 5-letter codes [#permalink]  17 Nov 2011, 06:01
26^4+26^5 = 26^4(1+26) = 27(26^4) C
Re: Combinations of 4-letter and 5-letter codes   [#permalink] 17 Nov 2011, 06:01
Similar topics Replies Last post
Similar
Topics:
A pass code is created by combining one-digit prime numbers. 7 23 Feb 2006, 06:56
A code is made from a sequence of 4 letters. How many 3 09 Oct 2006, 23:00
29 A 4-letter code word consists of letters A, B, and C. If the 31 25 Jan 2008, 23:19
4 LETTER COMBINATIONS 4 04 Jul 2009, 14:42
3 In how many ways can a person post 5 letters in 4 letter box 6 03 Feb 2013, 05:11
Display posts from previous: Sort by