MTH202 Solved subjective

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Question: Write the types of functions.

Answer: Types of function:- Following are the types of function

1. One to one function 2. Onto function 3. Into

function 4. Bijective function (one to one and onto

function) One to one function:- A function f : A to B is

said to be one to one if there is no repetition in the

second element of any two ordered pairs. Onto

function:- A function f : A to B is said to be onto if

Range of f is equal to set B (co-domain). Into

function:- A function f : A to B is said to be into

function of Range of f is the subset of set B (co

domain) Bijective function: Bijective function:- A

function is said to be Bijective if it is both one to one

and onto.

Question: Explain the pigeonhole principle.

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Question: What is conditional probability with example?.

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Question: Explain combinatorics.

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Answer: Branch of mathematics concerned with the selection,

arrangement, and combination of objects chosen from

a finite set.

The number of possible bridge hands is a simple

example; more complex problems include scheduling

classes in classrooms at a large university and

designing a routing system for telephone signals. No

standard algebraic procedures apply to all

combinatorial problems; a separate logical analysis may

be required for each problem.

Question: How the tree diagram use in our real computer life?

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Answer: Tree diagrams are used in data structure, compiler

construction, in making algorithms, operating system

etc.

Question: Write detail of cards.

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Answer: Diamond Club Heart Spade A A A A 1 1 1 1 2 2 2 2 3 3

3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10

10 10 10 J J J J Q Q Q Q K K K K Where 26 cards are

black & 26 are red. Also ‘A’ stands for ‘ace’ ‘J’ stands

for ‘jack’ ‘Q’ stands for ‘queen’ ‘K’ stands for ‘king’

Question: what is the purpose of permutations?

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Answer: Definition:- Possible arrangements of a set of objects

in which the order of the arrangement makes a

difference. For example, determining all the different

ways five books can be arranged in order on a shelf. In

mathematics, especially in abstract algebra and

related areas, a permutation is a bijection, from a

finite set X onto itself. Purpose of permutation is to

establish significance without assumptions

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By ADEEL ABBAS, Bhakkar. AdeelAbbasbk@gmail.com