How many three-letter “words” (strings of letters) can be formed using the 26 letters of the alphabet if repetition of letters (a) is allowed? (b) is not allowed?
in Word Problem Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Best answer

(a) Repetition is allowed. The letters A-Z can be used for each letter position so the maximum number of 3-letter words is 26*26*26=26^3=17576.

(b) Repetition is not allowed. The number of permutations of 3 different letters out of 26 letters is 26*25*24=15600.

by Top Rated User (1.1m points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,550 questions
99,628 answers
2,417 comments
440,203 users