Answer:
The number of arrangements per book is determined as,
Math = 5!
Science = 4!
English = 3!
Number of ways that 3 different books of the same subject be grouped together = 3!
Using Fundamental Counting Principle, we have
5!4!3!3!=(120)(24)(6)(6)=5!4!3!3!=(120)(24)(6)(6)= 103,680 ways
