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Combinations - Please help - What is the approach here?

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Combinations - Please help - What is the approach here? [#permalink]

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New post 29 Oct 2017, 05:56
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Each participant in a study was assigned a sequence of three different letters from the set {A,B,C,D,E,F,G,H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study?

(Note for example that the sequence ABC is different from CBA)

a. 20
b. 92
c. 300
d. 372
e. 476

[Reveal] Spoiler:
C

Kudos [?]: 0 [0], given: 2

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Joined: 02 Sep 2009
Posts: 43335

Kudos [?]: 139522 [0], given: 12794

Re: Combinations - Please help - What is the approach here? [#permalink]

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New post 29 Oct 2017, 06:03
sbolipombo wrote:
Each participant in a study was assigned a sequence of three different letters from the set {A,B,C,D,E,F,G,H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study?

(Note for example that the sequence ABC is different from CBA)

a. 20
b. 92
c. 300
d. 372
e. 476

[Reveal] Spoiler:
C


Discussed here: https://gmatclub.com/forum/each-partici ... 94901.html
_________________

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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Kudos [?]: 139522 [0], given: 12794

Expert Post
Math Expert
User avatar
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Joined: 02 Sep 2009
Posts: 43335

Kudos [?]: 139522 [0], given: 12794

Re: Combinations - Please help - What is the approach here? [#permalink]

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New post 29 Oct 2017, 06:04
sbolipombo wrote:
Each participant in a study was assigned a sequence of three different letters from the set {A,B,C,D,E,F,G,H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study?

(Note for example that the sequence ABC is different from CBA)

a. 20
b. 92
c. 300
d. 372
e. 476

[Reveal] Spoiler:
C


Please post PS questions in PS forum: https://gmatclub.com/forum/problem-solving-ps-140/

Please read carefully and follow: https://gmatclub.com/forum/rules-for-po ... 33935.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139522 [0], given: 12794

Re: Combinations - Please help - What is the approach here?   [#permalink] 29 Oct 2017, 06:04
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