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Question: 2014 Winter Final - 7

Author: Michiel Smid
Consider 4 blue balls $B_1,B_2,B_3,B_4$ and 5 red balls $R_1,R_2,R_3,R_4,R_5$. We pick 3 balls of the same color and arrange them on a horizontal line. (The order on the line matters.) How many arrangements are there?
(a)
94
(b)
84
(c)
64
(d)
74