One-to-one Correspondence

One-to-one Correspondence

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  • Students today your homework will be over "one-to-one correspondence".
  • What is that?
  • Do you know what one to one correspondence is, Sophia?
  • No, we haven't started learning that yet.
  • I will once I put your brother to sleep.
  • It's over one-to-one correspondence.
  • Will you help me with my homework, Mom?
  • What is one-to-one correspondence?
  • So this means for each element of Y there is exactly one element of X, then the two sets X and Y are in one-to-one correspondence.
  • One-to-one correspondence is when sets X and Y can be paired together so that each element of X there is exactly one element of Y.
  • Here is an example for you, there are three of your classmates, Alice, Bennett, and Carol, and there are four desks in the classroom left. Is this a one-to-one correspondence?
  • Alice Bennett Carol
  • Desk 1 Desk 2 Desk 3 Desk 4
  • No, because there is one desk left over.
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