2.11: Holiday book selection

0606/22/O/N/17 — Question 5 · 7 marks

Naomi is going on holiday and intends to read 4 books during her time away. She selects these books from 5 mystery, 3 crime and 2 romance books.
(i)
Find the number of ways in which she can make her selection if there are no restrictions.
[1]
(ii)
Find the number of ways in which she can make her selection if she selects at least 2 mystery books.
[3]
(iii)
Find the number of ways in which she can make her selection if she selects at least 1 book of each type.
[3]