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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,

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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?

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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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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.3 [Page 29]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.3 | Q 24 | Page 29

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