Om a sign showing the word 'TOGETHER', all eight letters are removed and then put back in a random order. (a) What is the probability that the sign still reads 'TOGETHER'? (b) What is the probability that the three vowels stand together in the new arrangement?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Om a sign showing the word 'TOGETHER', all eight letters are removed and then put back in a random order.
(a) What is the probability that the sign still reads 'TOGETHER'? (b) What is the probability that the three vowels stand together in the new arrangement?

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