Explain the concept of pointers in C and their various uses. Write a C program that uses pointers to perform operations on arrays, including finding the maximum and minimum values, and reversing the array. Discuss the advantages and potential pitfalls of using pointers.

Without using the built-in string functions, write a C program to take a choice from the user (use a SWITCH statement) (i) to find the string length (ii) for string concatenation, (iii) string copy and (iv) string comparison.

Write a C program to perform division on 2 matrices A and B of size NXN and store the result in matrix C.

Write a C program to find the sum of all elements in an array.

Discuss the differences between iterative and recursive approaches in solving problems. Write C programs to compute the factorial of a number using both iterative and recursive methods. Compare their performance and memory usage.

Explain circular permutation and its application in problem solving with en example.

"If today is a holiday then I will not go to school". Write inverse and for this sentence. contrapositive 

Show, using the pigeonhole principle, that in any group of 30 people, 5 people can always be found who were born on the same day of the week.

Find dual of Boolean Expression for the output (P) of the following logic circuit.

Write the following statements in symbolic form:

(i) Mahesh is hardworking student therefore he is a good performer.

(ii) Either exercise regularly or be ready for poor health.

What is a function? Explain how to find inverse of a function with the help of an example.

Prove +C "C, + "C,n

Explain addition theorem in probability with an example.

Three Sets A, B and Care: A= {1, 3,5,7,9,12,13, 15,17}, B= {1,2, 3,7,8,9, 10,17} and C {1,2,7, 8, 10, 11, 12,13,173. Find A B C; A~BUC; ABCand(A~C)

How many wa

ys are there to distribute 29 district items into 5 distinct boxes with:At least two empty box.

i) At least two empty box.

ii) No empty box.

iii) Explain principle of multiplication with an example

Let fand g be the two functions such that  Define fof, fog, gof and gog.

Explain whether the function f(x) = x²+2 is one-one or not.

Find how many 3 digit numbers are even?

A and B are mutually exclusive events such that P(A) = 1/4 and P(B)= 1/2 and P (AU B) = 1/6. What is the probability of P(A ∩ B)?

A committee consisting of 5 male and2 female workers is to be constituted from 8 male and 9 female workers. In how many distinct ways can this be done?