Additional Mathematics Form 5 Chapter 6: Permutations and Combinations
CHAPTER 6 : PERMUTATIONS AND COMBINATIONS SPM 2005 A debating team consists of 5 students. These 5 students are chosen from 4 monitors, 2 assistants monitors and 6 prefects. Calculate the number of different ways the team can be formed if (a) there is no restriction (b)the team contains only 1 monitor and exactly 3 prefects
SPM 2006 The diagram shows seven letter cards. U
N
I
F
O
R
M
A four letter code is to be formed using four of these cards. Find (a) the number of different four letter codes that can be formed (b)the number of different four letter codes which end with a consonant.
SPM 2007
Additional Mathematics Form 5 Chapter 6: Permutations and Combinations
A coach wants to choose 5 players consisting of 2 boys and 3 girls to form a badminton team. These 5 players are chosen from a group of 4 boys and 5 girls. Find (a) the number of ways the team can be formed (b)the number of ways the team members can be arranged in a row for a group photograph, if the three girls sit next to each other
SPM 2008 The diagram shows six numbered cards. 3
5
6
7
8
9
A four digit number is to be formed by using four of these cards. How many (a) different numbers can be formed? (b)different odd numbers can be formed?
SPM 2009
Additional Mathematics Form 5 Chapter 6: Permutations and Combinations
There are 4 different Science books and 3 different Mathematics books on a shelf. Calculate the number of different ways to arrange all the books in one row if (a) no condition is imposed (b)all the Mathematics books are next to each other
SPM 2010 There are 6 sweets, each with a different flavour, which are to be divided equally between 2 children. Find the number of different ways the division of the sweets can be done.
SPM 2011
Additional Mathematics Form 5 Chapter 6: Permutations and Combinations
The diagram shows seven letter cards. K
H
I
D
M
A
T
A five letter code is to be formed using five of these cards. Find (a) the number of different five letter codes that can formed (b)the number of different five letter codes which begin with a vowel and end with a constant.
