jsmn2267 jsmn2267
  • 21-09-2019
  • Mathematics
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How many one-to-one functions are there from a set with two elements to a set with four elements?

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sqdancefan
sqdancefan sqdancefan
  • 21-09-2019

Answer:

  12

Step-by-step explanation:

There are 4×3 = 12 ways that two of the four elements can be mapped to the two elements of the smaller set. Here's a list of the 12 possible functions:

  {(a, 1), (b, 2}}, {(a, 2), (b, 1)}, {(a, 1), (b, 3)}, {(a, 3), (b, 1)},

  {(a, 1), (b, 4)}, {(a, 4), (b, 1)}, {(a, 2), (b, 3)}, {(a, 3), (b, 2)},

  {(a, 2), (b, 4)}, {(a, 4}, (b, 2)}, {(a, 3), (b, 4)}, {(a, 4), (b, 3)}

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