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, answer are there to this question?

Explanation

There are `6` items in column A and `6` items in column B.

Now,

Each answer to the given question is an arrangement of the `6` items of column B keeping the order of items in column A fixed.

Hence, the total number of answers

= Number of arrangements of `6` items in column B

= `6_(P_6)`

=`( 6!)/((6−6)!)=(6!)/(0!
)`

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