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10 Feb 2022, 08:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (02:00) correct
34%
(01:45)
wrong
based on 412
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History
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Time
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Not Attempted Yet
Chelsea has a bookshelf consisting of ten classics: four Russian novels, three British novels, two French novels, and a German novel. If she wants to make sure that the novels are always grouped according to country, how many ways can she arrange the novels?
(A) 24
(B) 24^2
(C) 288
(D) (24)(288)
(E) 144^2
(A) 24
(B) 24^2
(C) 288
(D) (24)(288)
(E) 144^2
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 724
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
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10 Feb 2022, 14:57
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Bookmarks
Block 1 = RRRR
Block 2 = BBB
Block 3 = FF
Block 4 = G
Ways to arrange the 4 blocks = 4!
Ways to arrange Block 1 internally = 4!
Ways to arrange Block 2 internally = 3!
Ways to arrange Block 3 internally = 2!
Total ways to arrange = 4!*4!*3!*2! = 24*24*6*2 = 24*24*12 = 24*(288)
Hence, option D is our answer.
Posted from my mobile device
Block 2 = BBB
Block 3 = FF
Block 4 = G
Ways to arrange the 4 blocks = 4!
Ways to arrange Block 1 internally = 4!
Ways to arrange Block 2 internally = 3!
Ways to arrange Block 3 internally = 2!
Total ways to arrange = 4!*4!*3!*2! = 24*24*6*2 = 24*24*12 = 24*(288)
Hence, option D is our answer.
Posted from my mobile device
12 Feb 2022, 23:43
Kudos
Bookmarks
4-RN
3-BN
2-FN
1-GN
WAYS TO ARRANGE THESE 4 GROUPS = 4!
ways to arrange each of them
4-RN = 4!
3-BN = 3!
2-FN = 2!
1-GN = 1!
total ways to arrange = ways to arrange group * ways to arrange each individual within their groups
=4!*(4!*3!*2!*1!) = 24*(24*6*2) = 24*(48*6) = 24*(288)
answer is D
3-BN
2-FN
1-GN
WAYS TO ARRANGE THESE 4 GROUPS = 4!
ways to arrange each of them
4-RN = 4!
3-BN = 3!
2-FN = 2!
1-GN = 1!
total ways to arrange = ways to arrange group * ways to arrange each individual within their groups
=4!*(4!*3!*2!*1!) = 24*(24*6*2) = 24*(48*6) = 24*(288)
answer is D
