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國立政治大學 2026 · 考試 · 第 16 題

The following questions constitute a set. Please answer accordingly.

Let X={1,2,3,4,5,6}X = \{1,2,3,4,5,6\} and Y={a,b,c,d}Y = \{a,b,c,d\}. For a function ff and a set SS, define f(S)={f(i)∣i∈S}f(S) = \{f(i) \mid i \in S\}. Please find the answers for the following questions.

(4分) How many functions f:X→Yf: X \to Y are onto (surjective)?

  • (A)
    1024
  • (B)
    1560
  • (C)
    2048
  • (D)
    4096

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