GRE Math : Challenge Question : How many ways can she arrange the novels?
Try the question below. See if you can solve in less than 1 minute. Good luck!
Sonia 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
Answer with Explanation:
Remember, once we’ve figured out how many ways the books can be arranged within groups (24 x 6 x 2) = 288, we have to factor in how many ways the groups can be arranged: 4!. Therefore, we get 24×288, or (D).
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