2. 外语
  3. An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang three o

An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang three o

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问题 An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
选项 A、18
B、30
C、64
D、120
E、216
答案D
解析 This problem asks for us to arrange the paintings, so it is a permutation. Using the formula and using 6 as our n and 3 as our k, we get the following: . When we cancel out, we get 6×5×4, which is 120.
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