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Chelsea has a bookshelf consisting of ten classics: four Rus
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04 Oct 2017, 20:34
04 Oct 2017, 20:34
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Question Stats:
61% (01:42) correct
38% (01:35) wrong based on 13 sessions
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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
Kudos for correct solution.
(A) 24
(B) 24^2
(C) 288
(D) (24)(288)
(E) 144^2
Kudos for correct solution.
Re: Chelsea has a bookshelf consisting of ten classics: four Rus
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04 Oct 2017, 22:29
04 Oct 2017, 22:29
2
Bunuel wrote:
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
Kudos for correct solution.
(A) 24
(B) 24^2
(C) 288
(D) (24)(288)
(E) 144^2
Kudos for correct solution.
4 Russian novels can be arranged in 4! ways =24 ways
3 British novels can be arranged in 3! ways = 6 ways
2 French novels can be arranged in 2! ways =2 ways
1 German Novel can be arranged in 1! way = 1 way
Therefore the novels can be arranged within the group = (24 x 6 x 2) = 288 ways
Now this group (4 different novels) can be arranged in = 4! ways = 24 ways
Therefore the total no. of ways= 24 * 288 ways
Re: Chelsea has a bookshelf consisting of ten classics: four Rus
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21 Sep 2021, 11:51
21 Sep 2021, 11:51
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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