valeriabruh valeriabruh
  • 24-04-2017
  • Mathematics
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How many ordered lists are there of two items chosen from seven? ordered lists

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Sxerks Sxerks
  • 24-04-2017
Since we want the order in which items are picked, we are talking about permutations and not combinations.
Using the permutation formula, our n becomes 7, because this is the total of subsets we have, while 2 is the one we are looking for (items).

Thus, to pick two items from seven, we have:
[tex]^{7}P_2 = \frac{7!}{(7 - 2)!}[/tex]
[tex]= \frac{7!}{5!} = 7 \cdot 6 = 42[/tex]

Thus, we have 42 ways to pick two items from seven if we wanted order.
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