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.

Question:

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?

Solution:

Each answer is an arrangement of the 6 items of column B keeping the order of column A fixed.

∴ Total number of answers = Number of arrangements of items in column B = 6P6 = 6! = 720

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