Thank you for visiting Fill in the blanks to correctly complete the following sentence A monogram consisting of three letters from the English alphabet can occur in different ways. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
A monogram consisting of three letters from the English alphabet can occur in 15,600 different ways.
Explanation:
A monogram is a design or symbol that represents a person or organization, typically consisting of their initials. In this case, we are looking for a monogram consisting of three letters from the English alphabet. To complete the sentence, we need to find the different ways this monogram can occur.
There are 26 letters in the English alphabet. Since we need to choose three letters for the monogram, we can use the concept of permutations to calculate the number of different ways the monogram can occur. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items chosen.
Using this formula, we can calculate the number of different ways the monogram can occur as follows:
Number of ways = 26P3 = 26! / (26 - 3)! = 26 * 25 * 24 = 15,600
Therefore, a monogram consisting of three letters from the English alphabet can occur in 15,600 different ways.
Learn more about completing a sentence with a monogram here:
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