Additional Mathematics Form 5Chapter 6: Permutations and Combinations

CHAPTER 6 : PERMUTATIONS AND COMBINATIONSSPM 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.

Additional Mathematics Form 5Chapter 6: Permutations and Combinations

SPM 2007

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?

Additional Mathematics Form 5Chapter 6: Permutations and Combinations

SPM 2009

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.

Additional Mathematics Form 5Chapter 6: Permutations and Combinations

SPM 2011

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.