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QB-2 - Question bank

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Course

Linear Algebra and Differential Equations (BBS01T1003)

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Academic year: 2022/2023
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Question Bank-

School of Basics and Applied Science

Mathematics

Course Name: Discrete Mathematics Course Code: E1UJ204T

Unit-

Serial No.

Questions Bloom’s Taxonomy Level

Difficulty Level

Competitive Exam Question Y/N

Unit

  1. Define sum rule with an example. K1 Low N 2

  2. Define product rule with an example. K1 Low N 2

  3. Three cards are chosen one after the other from a 52-card deck. Find the number m of ways this can be done: (a) with replacement; (b) without replacement.

K2 Medium N 2

  1. A hotel offers 12 kinds of sweets, 10 kinds of hot beverages (hot coffee, hot tea, ice cream, juice, coke) and 5 kinds of fruits. The breakfast consists of a sweet and hot beverage or a cold beverage and fruit. How many ways the breakfast can be ordered is?

K2 Medium N 2

  1. A box contains 8 blue socks and 6 red socks. Find the number of ways two socks can be drawn from the box if: (a) They can be any color. (b) They must be the same color.

K2 Medium N 2

  1. Suppose a bookcase shelf has 5 History texts, 3 Sociology texts, 6 Anthropology texts, and 4 Psychology texts. Find the number n of ways a student can choose: (a) one of the texts; (b) one of each type of text.

K2 Medium Y 2

  1. There are 12 students in a class. Find the number n of ways that the 12 students can take 3 tests if 4 students are to take each test.

K2 Medium Y 2

  1. A history class contains 8 male students and 6 female students. Find the number n of ways that the class can elect: (a) 1 class representative; (b) 2 class representatives, 1 male and 1 female; (c) 1 president and 1 vice president.

K2 Medium N 2

  1. A box has 6 blue socks and 4 white socks. Find the number of ways two socks can be drawn from the box where: (a) There are no restrictions. (b) They are different colors. (c) They are the same color.

K2 Medium N 2

  1. How many different license plates can be made if each plate contains a sequence of three uppercase

K2 Medium N 2

English letters followed by three digits (and no sequences of letters are prohibited)? 11. A class contains 9 men and 3 women. Find the number of ways a teacher can select a committee of 4 from the class where there is: (a) no restrictions; (b) 2 men and 2 women; (c) exactly one woman; (d) at least one woman.

K3 High N 2

  1. A class contains 8 men and 6 women and there is one married couple in the class. Find the number m of ways a teacher can select a committee of 4 from the class where the husband or wife but not both can be on the committee.

K3 Medium N 2

  1. Define Pigeon-hole principle. K1 Low N 2

  2. Define Generalized Pigeon-hole principle. K1 Low N 2

  3. Define Inclusion and exclusion principle. K1 Low N 2

  4. Find the minimum number of students in a class to be sure that three of them are born in the same month.

K2 Medium Y 2

  1. Find the number m of committees of 5 with a given chairperson that can be selected from 12 people.

K2 Medium N 2

  1. What is the minimum number of students required in a discrete mathematics class to be sure that at least six will receive the same grade, if there are five possible grades A, B, C, D, and F?

K2 Medium N 2

  1. Suppose that a “word” is any string of seven letter of the alphabet, with repeated allowed. i. How many words end with the letter T? ii. How many words begin with A or B? iii. How many words begin with A or end with B? iv. How many words begin with A or B and end with A or B? v. How many words begin with A or B or end with A or B? vi. How many words begin with a vowel and end with a vowel?

K3 High 2

  1. A box contains 10 blue balls, 20 red balls, 8 green balls, 15 yellow balls and 25 white balls. How many balls must we have chosen to ensure that we have 12 balls of the same colour.

K2 Medium N 2

  1. Define permutation of n objects taking r objects at a time.

K1 Low N 2

  1. Define combination of n objects taking r objects at a time.

K1 Low N 2

  1. Define relation between permutation and

combination of n objects taking r at a time.

K1 Low N 2

  1. A restaurant has 6 different desserts. Find the number of ways a customer can choose: (a) 1 dessert; (b) 2 of the desserts; (c) 3 of the desserts.

K3 High N 2

  1. A box contains 10 blue balls, 20 red balls, 8 green balls, 15 yellow balls and 25 white balls. How many balls must we have chosen to ensure that we have 12 balls of the same colour.

K2 Medium N 2

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QB-2 - Question bank

Course: Linear Algebra and Differential Equations (BBS01T1003)

45 Documents
Students shared 45 documents in this course

University: Galgotias University

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Question Bank-2
School of Basics and Applied Science
Mathematics
Course Name: Discrete Mathematics Course Code: E1UJ204T
Unit-2
Serial
No.
Questions
Bloom’s
Taxonomy
Level
Difficulty
Level
Competitive
Exam
Question
Y/N
Unit
1.
Define sum rule with an example.
K1
Low
N
2
2.
Define product rule with an example.
K1
Low
N
2
3.
Three cards are chosen one after the other from a
52-card deck. Find the number m of ways this can
be done: (a) with replacement; (b) without
replacement.
K2
Medium
N
2
4.
A hotel offers 12 kinds of sweets, 10 kinds of hot
beverages (hot coffee, hot tea, ice cream, juice,
coke) and 5 kinds of fruits. The breakfast consists
of a sweet and hot beverage or a cold beverage
and fruit. How many ways the breakfast can be
ordered is?
K2
Medium
N
2
5.
A box contains 8 blue socks and 6 red socks. Find
the number of ways two socks can be drawn from
the box if:
(a) They can be any color. (b) They must be the
same color.
K2
Medium
N
2
6.
Suppose a bookcase shelf has 5 History texts, 3
Sociology texts, 6 Anthropology texts, and 4
Psychology texts. Find the number n of ways a
student can choose:
(a) one of the texts; (b) one of each type of text.
K2
Medium
Y
2
7.
There are 12 students in a class. Find the number
n of ways that the 12 students can take 3 tests if 4
students are to take each test.
K2
Medium
Y
2
8.
A history class contains 8 male students and 6
female students. Find the number n of ways that
the class can elect: (a) 1 class representative; (b)
2 class representatives, 1 male and 1 female;
(c) 1 president and 1 vice president.
K2
Medium
N
2
9.
A box has 6 blue socks and 4 white socks. Find
the number of ways two socks can be drawn from
the box where:
(a) There are no restrictions. (b) They are
different colors. (c) They are the same color.
K2
Medium
N
2
10.
How many different license plates can be made if
each plate contains a sequence of three uppercase
K2
Medium
N
2

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