Question 1 | Exercise 6.1 | Lecture 2 | Chapter 6 | Discrete Maths

Question No 1 | Exercise 6.1 | Lecture 02 | Chapter No 06 | Permutations and Combinations | Discrete Mathematics

Book Name :
Discrete Mathematics with Applications

By :

DR. Abdur Rehman
DR. Shahid Mubeen
DR. Muhammad Imran Chaudhary
Prof. Basit Rahman Mughal

Chapter Number : 06
Chapter Name : Permutations and Combinations

Topics Name :
1) Factorial

Lecture Number : 02
Exercise Number : 6.1
Question Number : 01

Awais Rasool Shah

Q No: 1
Evaluate the following expressions.
i) 8!/7!
8!/7! = 8 . 7!/7!
= 8

Q No: 1
Evaluate the following expressions.
ii) 11!/7! 4!
11!/7! 4! = 11 . 10 . 9 . 8 . 7!/7! .4!
= (11 . 10 . 9 . 8)/(4 . 3 . 2 . 1)
= 7920/24
= 330

Q No: 1
Evaluate the following expressions.
iii) 11!/2! 4! 5!
11!/2! 4! 5! = 11 . 10 . 9 . 8 . 7 . 6 . 5!/2! 4! 5!
= (11 . 10 . 9 . 8 . 7 . 6)/(2 . 1)(4 . 3 . 2 . 1)
= 332640/2 . 24
= 332640/48
= 6930

Q No: 1
Evaluate the following expressions.
iv) 15!/15! (15 – 15)!
15!/15! (15 – 15)! = 15!/15! 0!
= 15!/15! . 1 If 0! = 1
= 15!/15!
= 1