csat-suneung 2006 Q17

csat-suneung · South-Korea · csat__math-humanities 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 identical cubes. If 4 of these glass boxes are replaced with glass boxes of the same size but black in color such that the rectangular solid viewed from above looks like (가) and viewed from the side 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 identical cubes. If 4 of these glass boxes are replaced with glass boxes of the same size but black in color such that the rectangular solid viewed from above looks like (가) and viewed from the side looks like (나), how many ways can this be done? [4 points]\\
(1) 54\\
(2) 48\\
(3) 42\\
(4) 36\\
(5) 30

Paper Questions

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