csat-suneung 2006 Q17

csat-suneung · South-Korea · csat__math-science 4 marks Permutations & Arrangements Distribution of Objects into Bins/Groups
As shown in the figure, a rectangular solid is made from 12 transparent glass boxes in the shape of cubes of equal size. When 4 of these glass boxes are replaced with black glass boxes of the same size, and the view from above looks like (가) and the side view looks like (나), how many ways can this be done? [4 points]
(1) 54
(2) 48
(3) 42
(4) 36
(5) 30
As shown in the figure, a rectangular solid is made from 12 transparent glass boxes in the shape of cubes of equal size. When 4 of these glass boxes are replaced with black glass boxes of the same size, and the view from above looks like (가) and the side view looks like (나), how many ways can this be done? [4 points]\\
(1) 54\\
(2) 48\\
(3) 42\\
(4) 36\\
(5) 30