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?

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