SOLUTION: Can you please explain this to me? Thanks so much in advance for your time! If D = {w, h, y} and E = {n, o, t} then answer the following: (a) How many possible one-to-one corre

Algebra ->  Expressions-with-variables -> SOLUTION: Can you please explain this to me? Thanks so much in advance for your time! If D = {w, h, y} and E = {n, o, t} then answer the following: (a) How many possible one-to-one corre      Log On


   



Question 233332: Can you please explain this to me? Thanks so much in advance for your time!
If D = {w, h, y} and E = {n, o, t} then answer the following:
(a) How many possible one-to-one correspondences are there between sets D and E?
(b) How many elements are in the Cartesian product D X E?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please explain this to me? Thanks so much in advance for your time!
If D = {w, h, y} and E = {n, o, t} then answer the following:
(a) How many possible one-to-one correspondences are there between sets D and E?
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Corresponding to w you have 3 choices
Corresponding to h you can 2 choices
Corresponding to y you have 1 choice
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Answer 3! = 6 possible 1-1 correspondences.
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(b) How many elements are in the Cartesian product D X E?
All possible ordered pairs (d,e) where d is from D and e is from E.
# = 3*3 = 9 ordered pairs
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Cheers,
Stan H.