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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...
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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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