Subject : Part of the sentence that tells what or whom the sentence is about. The subject can only be an object i.e. noun or pronoun
Types of Subject:
Simple Subject (only subject)
Complete Subject (subject with a modifier)
Compound Subject (two or more subject joined with a conjunction)
Examples:
Rebecca is washing the car. (Simple Subject)
The wise man called the ambulance. (Complete subject)
Holi and Diwali are my favourite festivals. (Compound subjects)

Predicate : Part of the sentence that tells what the subject in the sentence is doing. The predicate will contain verbs to tell what the subject is doing.
Types of Predicate:
Simple Predicate (only verb)
Complete Predicate (verbs with a modifier)
Compound Predicate (two or more verbs with conjunction)
Examples:
Rebecca is washing the car (Simple Predicate)
She and her brother always quarrel for little things. (complete Predicate)
Tom loves cooking but hates the mess involved. (Compound Predicate)