One of Shakespeare's sonnets has a verb in 10 of its 15 lines, an adjective in 10 lines, and both in 7 lines. How many lines have a verb but no adjective? How many lines have an adjective but no verb? How many have neither an adjective nor a verb?
One of Shakespeare's sonnets has a verb in 10 of its 15 lines, an adjective in 10 lines, and both in 7 lines. How many lines have a verb but no adjective? How many lines have an adjective but no verb? How many have neither an adjective nor a verb?
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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Transcribed Image Text:One of Shakespeare's sonnets has a verb in 10 of its 15 lines, an adjective in 10
lines, and both in 7 lines.
How many lines have a verb but no adjective?
How many lines have an adjective but no verb?
How many have neither an adjective nor a verb?
Expert Solution

Step 1
Let the total number of lines be
The total number of lines having verb be
The total number of lines having verb be
The total number of lines having both verb and adjective be .
First find the number of lines have a verb but no adjective.
Hence, the number of lines have a verb but no adjective is given by
Hence, the number of lines have a verb but no adjective is .
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