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Economist GMAT
Jean is arranging paint brushes used by artists for an impressionist's exhibit. He has 4 from Van Gogh, 5 from Monet, 3 from Manet, 4 from Degas, and 2 from Toulouse-Lautrec to choose from. All brushes from the same artist are considered identical for ordering. Jean wants to group all the brushes from Van Gogh together. How many ways can he arrange the paint brushes by the artist that used them?
A. \(5!\)
B. \(15!\)
C. \(\frac{15!}{4!}\)
D. \(\frac{11!}{5!3!4!2!}\)
E. \(\frac{15}{5!3!4!2!}\)
OA E
Jean is arranging paint brushes used by artists for an impressionist's exhibit. He has 4 from Van Gogh, 5 from Monet, 3 from Manet, 4 from Degas, and 2 from Toulouse-Lautrec to choose from. All brushes from the same artist are considered identical for ordering. Jean wants to group all the brushes from Van Gogh together. How many ways can he arrange the paint brushes by the artist that used them?
A. \(5!\)
B. \(15!\)
C. \(\frac{15!}{4!}\)
D. \(\frac{11!}{5!3!4!2!}\)
E. \(\frac{15}{5!3!4!2!}\)
OA E
