In how many ways can the letters of the word "SECTION" can be arranged so that no two vowels are together?
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Step-by-step explanation:
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Answer:
The number of ways in which letters of SECTION are arranged such that that no vowels are together are 1440 ways.
Step-by-step explanation:
Given the word "SECTION"
Find the number of ways in which words such that no two vowels are together.
Total letters in the word "SECTION" are= 7
Number of vowels= 3
First, we arrange all consonants which are 4 letters in an alternative manner.
Total number of ways = 4!(5C3)*3!
=4!5!3!/3!2!
=4*3*2*5*4*3
=1440 ways
#SPJ3
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