UNIVERSITY EXAMINATIONS: 2019/2020
ORDINARY EXAMINATION FOR BACHELOR OFSCIENCE
INFORMATION TECHNOLOGY, BSc. APPLIED COMPUTING, BSD,
BISF
BIT 1206/ BAC 1201/ BISF 1101/ BSD 1202: DISCRETE MATHEMATICS
(DAY/EVENING/DISTANCE LEARNING)
DATE: MAY, 2020 TIME: 6 HOURS
INSTRUCTIONS: Answer ALL questions
SECTION TWO: OPEN BOOK
QUESTIONS (20MARKS)
1. Test the validity of the following argument
“If I like mathematics then I will study.
Either I study or I fail.
……………………………………………………………………….
If I fail then I do not like mathematics. (10 Marks)
2. Let
( ) 3
2
f x = x − and
g(x) =10 − 2x
.Find
−1 −1
f og
(10 Marks)
SECTION THREE: OPEN BOOK
QUESTIONS (20MARKS)
1. Use set laws to show that
(A B)(A− B) = A
(5 Marks)
2. In a survey of 1000 households, 275 owned a home computer, 455 a video, 405 two cars,
and 265 households owned neither a home computer, nor a video, nor two cars. Given
that 145 households owned both a home computer and a video, 195 both a video and two
cars, and 110 both two cars and a home computer, find the number of households
surveyed which owned:
i) A home computer, a video and two cars; (5 Marks)
ii) Present the information on a Venn diagram (4 Marks)
iii) Two cars, a video but not a home computer (1 Marks)
3. Draw a Venn diagram for the following set (5 marks)
A (B C)
