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?
To find: number of possibilities of a selection of answers.
Each item in column A can select another item in column B.
Therefore the question involves selecting each item from column A to each item in column B. this can be done in P(6,6)
Formula:
Number of permutations of n distinct objects among r different places, where repetition is not allowed, is
P(n,r) = n!/(n-r)!
Therefore, a permutation of 6 different objects in 6 places is
P(6,6) = 
= 
= 
= 720.
Therefore, the possible number of selecting an incorrect or correct answer is 720.
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