# . 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?

Given: The number of items in column A = 6 and in column B = 6

A student is asked to match each item in column A with an item in column B

To find: Possible number of correct or incorrect answers which he can give

Let the items of column A are fixed i.e. they arrangement is not changing

Now, we just have to arrange items of column B

Formula used:

Number of arrangements of n things taken all at a time = P(n, n)

The total number of ways in which this can be done

= the number of arrangements of 6 things taken all at a time

= P(6, 6)

{ 0! = 1}

= 6 × 5 × 4 × 3 × 2 × 1

= 720

Hence, possible number of correct or incorrect answers which a student can give are 720

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