There are 6 items in column A and 6 items in column B. A student is asked to match each item in column A with an item in column B. How many possible (correct or incorrect) answers are there to this question?


COLUMN A



COLUMNB



ITEM1



MATCH1



ITEM2



MATCH2



ITEM3



MATCH3



ITEM4



MATCH4



ITEM5



MATCH5



ITEM6



MATCH6



As we can see that For Item2 there can be any of the match


So, For each item in column A there are 6 different options in column B since we don’t have to think about correct or incorrect matching.


So possible number of combinations possible to answer:


6 × 5 × 4 × 3 × 2 × 1=720


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