What is difference between persudaded and convinced are they synonym???

Solution:
Convince: cause (someone) to believe firmly in the truth of something.
Persuade: cause (someone) to do something through reasoning or argument.

The difference is that 
​​​​​Persuade is used when we want someone to do something, while convince is used when we want someone to believe something.


Example: 
  • I persuaded him to apply to both colleges.   (Here we want the person to do something)
  • I convinced him to apply to both colleges.   (Here we want the person to believe something)

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