1.2: Book arrangements and quiz team selection

0606/11/O/N/19 — Question 11 · 11 marks

(a)(i)
Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if there are no restrictions.
[1]
(a)(ii)
Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if a chemistry book is at each end of the shelf.
[2]
(a)(iii)
Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if all the mathematics books are kept together and all the physics books are kept together.
[3]
(b)(i)
A quiz team of 6 children is to be chosen from a class of 8 boys and 10 girls. Find the number of ways of choosing the team if there are no restrictions.
[1]
(b)(ii)
A quiz team of 6 children is to be chosen from a class of 8 boys and 10 girls. Find the number of ways of choosing the team if there are more boys than girls in the team.
[4]