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Four Letters E, K, S and V, One in Each, Were Purchased from a Plastic Warehouse. How Many Ordered Pairs of Letters, to Be Used as Initials, Can Be Formed from Them? - Mathematics

Four letters E, K, S and V, one in each, were purchased from a plastic warehouse. How many ordered pairs of letters, to be used as initials, can be formed from them?

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Solution

Here, we need to find out the number of pairs of the letters that can be formed with the 4 letters.
Required number of ordered pairs = Number of arrangements of  four letters, taken two at a time = 4P2

\[= \frac{4!}{\left( 4 - 2 \right)!}\]

\[ = \frac{4!}{2!}\]

\[ = \frac{4 \times 3 \times 2!}{2!}\]

\[ = 4 \times 3\]

\[ = 12\]

 

 

Concept: Factorial N (N!) Permutations and Combinations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.3 | Q 17 | Page 28
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