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a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? b. In how many ways can a group of 5 men and 2 women be selected from a total of 7 men and 3 women? C. In how many ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?

a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? b. In how many ways can a group of 5 men and 2 women be selected from a total of 7 men and 3 women? C. In how many ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?

A First Course in Probability (10th Edition)
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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a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? b. In how many ways can a group of 5 men and 2 women be selected from a total of 7 men and 3 women? C. In how many ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
Transcribed Image Text:a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? b. In how many ways can a group of 5 men and 2 women be selected from a total of 7 men and 3 women? C. In how many ways can the letters of the word 'MATHEMATICS' be arranged such that the vowels must always come together?
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