The distance a bike travels varies directly as the amount of time the bike has been ridden. Angela is riding her bike. If she tr
2 answers:
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Answer:
(a) 3628800 ways
(b) 17280 ways
(c) 120960 ways
Step-by-step explanation:
Given
Solving (a): Arrangement with no restriction.
We simply count each book with no restriction. i.e. 10 books
So, the number of arrangement is:
Solving (b): Maths book together and Novels together
First, arrange the 4 maths books as:
Next, arrange the 5 novels as:
Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.
So, we have: 3 books
Arrange 3 books, we have:
Total arrangement is:
Solving (c): Maths book together
First, arrange the 4 maths books as:
Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)
So, we have: 7 books
Arrange 7 books, we have:
Total arrangement is: