We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is the probability that (a) all letters are different? (b) there are no vowels? (c) the word begins with a vowel?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is the
probability that
(a) all letters are different?
(b) there are no vowels?
(c) the word begins with a vowel?
[Ans.24/125 = 0, 192; 81/625 = 0, 1296; 2/3 ]
Transcribed Image Text:5. We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is the probability that (a) all letters are different? (b) there are no vowels? (c) the word begins with a vowel? [Ans.24/125 = 0, 192; 81/625 = 0, 1296; 2/3 ]
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