GmatKiss wrote:There are six different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
A) 48
B) 64
C) 24
D) 8
E) 72
I received a PM asking me to comment.
Here's a step-by-step approach:
Number of continents that could occupy the first two positions = 3.
Number of ways to arrange the two models from this continent = 2.
Number of remaining continents that could occupy the middle two positions = 2.
Number of ways to arrange the two models from this continent = 2.
Number of remaining continents that could occupy the last two positions = 1.
Number of ways to arrange the two models from this continent = 2.
To combine the options above, we multiply:
3*2*2*2*1*2 = 48.
The correct answer is
A.
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