Unit 06: Permutation and Combination

This is a sixth unit of the book “Model Textbook of Mathematics for Class XI” published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. On this page we have provided the solutions of the questions.

After reading this unit the students will be able to

• Know kramp's factorial notation to express the product of first $n$ natural numbers by $n!$.
• Recognize the fundamental principle of counting and illustrate this principle using tree diagram.
• Define the permutation of $n$ different objects taken $r$ at a time and proof of formula of permutation.
• Find out the arrangement of different objects including round a circle.
• Define the combination of $n$ different objects taken $r$ at a time.

There are four exercises in this chapter.

• Exercise 6.1 (Solutions)
• Exercise 6.2 (Solutions)
• Exercise 6.3 (Solutions)
• Review Exercise (Solutions)