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6, How many ways you can arrange the letters in the word SCRAPED under the following condition; no consonant in the first letter, no vowel in the last letter, and repetition is allowed? Counting Principle Permutation Notation Answer

6, How many ways you can arrange the letters in the word SCRAPED under the following condition; no consonant in the first letter, no vowel in the last letter, and repetition is allowed? Counting Principle Permutation Notation Answer

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Example "How many ways you can arrange the letters in the word SCRAPED under the following condition; no consonant in the first letter, no vowel in the last letter, and repetition is allowed? Counting Principle Permutation Notation Answer
Transcribed Image Text:Example "How many ways you can arrange the letters in the word SCRAPED under the following condition; no consonant in the first letter, no vowel in the last letter, and repetition is allowed? Counting Principle Permutation Notation Answer
Expert Solution
Step 1

the word is SCRAPED

there are total of 7 letters

the first place can be filled in two ways  A And E (as consonant can be filled)

the last place can be filled in S, C, R, P, D 5 ways (no vowels can be filled)

 

 

 

 

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