Number of arrangements of words starting with A, B, E or L is 4*5!
Number of arrangements of words starting with SA, SB, SE, SL is 4* 4!
The next word after that is STABEL and then STABLE. So the rank is 480 + 96 + 2 = 578
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x = 5 > 15 (sum of 2 sides > 3rd side). x> 10 5 + 15 > x ⇒x< 20 ⇒ 10 < x < 20 ………(1) It is given that 5 < x < 15 …………(2) From (1) and (2), 11, 12, 13, 14 are the only 4 integer values possible for x; i.e., 4 values. |
The smaller cubes have a side 1/4th the length of the original side. Thus there are 64 small cubes, with 4 cubes along one side of the original cube. The cubes which do not have even a single side painted are the ones not exposed to the exterior at all. There are 8 such cubes in the centre.
