Question 1202827: Before the election, you want to determine the number of possible president/vice-president combinations for honor society you belong to. If both positions are chosen from seven people, how many combinations are possible?
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
There are 7 possibilities to select a person for the president's chair, and
there are 6 possibilities to select a person for the vice-president's chair, from remaining 6 persons.
Finally, there are 7*6 = 42 different possible combinations.
BE ATTENTIVE : Here the word "combination" is used in the non-standard manner for the ORDERED pairs,
while the standard usage of the term "combinations" in Combinatorics is for non-ordered pairs.
Actually, the conception used in this problem, is called "permutations" in Combinatorics.
Solved, with explanation.
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