Question 1202827
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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.
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Solved, with explanation.