AMC 8 2018 Problem 19

AMC8 2018 年第 19

基本计数原理★★★☆☆
In a sign pyramid a cell gets a "+" if the two cells below it have the same sign, and it gets a "-" if the two cells below it have different signs. The diagram below illustrates a sign pyramid with four levels. How many possible ways are there to fill the four cells in the bottom row to produce a "+" at the top of the pyramid?
在一种符号金字塔中,如果下面 2 个方块的符号相同,那么这 2 个方块上面的方块就得到一个"+"号;若下面 2 个方块的符号不同,那么这 2 个方块上面的方块就得到一个"-"号。 下图展示了一个 4 层的符号金字塔。为了使得金字塔的最顶层是个"+",那么最底层的 4 个方块有多少种赋予符号的方法?
AMC 8 2018 Problem 19 figure
  1. A.2
  2. B.4
  3. C.8
  4. D.12
  5. E.16

正确答案 · Correct Answer

C

解析 · Solution

解析整理中

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