GMAT Quant

Counting Problem with Repeats (Mississippi Rule) #GMAT #GRE #SAT #MiM #mba #combinatorics

There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?

(A) 20
(B) 25
(C) 40
(D) 60
(E) 125

In a case like this, just use letters for the color, then divide factorial of total by factorial of repeats.

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