Answer:
The number of ways these books can be arranged is 17,280 ways
Step-by-step explanation:
number of ways 4 distinct math books can be arranged = 4! = 4 x 3 x 2 x 1 = 24 ways
number of ways of 5 distinct history book can be arranged = 5! = 5 x 4 x 3 x 2 x 1 = 120 ways
if all of the math books have to be together, but the history books do not have to be together,
↑ H₁ ↑ H₂ ↑ H₃ ↑ H₄ ↑ H₅ ↑ = 6 ways
The upward arrows represent, the number of ways all the maths books can be arranged with the 5 history books.
Total number of ways these books can be arranged = 24 x 120 x 6
= 17,280 ways
Therefore, the number of ways these books can be arranged is 17,280 ways
