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Let [tex]l_1 = \{\text{peach, apple, cherry}\}[/tex] and [tex]l_2 = \{\text{pie, cobbler, ?}\}[/tex]. List the elements of [tex]l_1 \times l_2[/tex].

Answer :

Final answer:

The Cartesian product of the given lists, l1 X l2, includes the pairs (peach, pie), (peach, cobbler), (apple, pie), (apple, cobbler), (cherry, pie) and (cherry, cobbler). The remaining pairs are undefined due to an unknown value in the second list.

Explanation:

The question is asking for the Cartesian product of list l1 and list l2, denoted as l1 X l2. The Cartesian product between two sets is the sets of all ordered pairs where the first element is a member of the first set and the second element is a member of the second set.

Therefore, the elements of l1 X l2 will be:

  • (peach, pie)
  • (peach, cobbler)
  • (apple, pie)
  • (apple, cobbler)
  • (cherry, pie)
  • (cherry, cobbler)

However, there is an unknown value in list l2 as represented by '?'. Because of this, it is undefined what the remaining pairs from l1 X l2 would be.

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