Hello NPTEL Learners, In this article, you will find **NPTEL Discrete Mathematics Assignment 1 Week 1 Answers 2023**. All the Answers are provided below to help the students as a reference don’t straight away look for the solutions, first try to solve the questions by yourself. If you find any difficulty, then look for the solutions.

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## NPTEL Discrete Mathematics 1 Answers 2023:

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#### Q.1. What will be the number of diagonals in a convex 18-gon (having 18 sides)?

#### Q.2. Which of the following is equal to the number of non negative integer solutions to the equation x+y+z+a+b+c=97

**Answer:**B

#### Q.3. Find the number of ways in which in you can arrange the letters of the word “DISCRETE” such that no two vowels are together.

**Answer:**C

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#### Q.4. In how many four-digit numbers, do all and only, the three digits; 2, 7 and 9 appear ?

#### Q.5.** **What will be the coefficient of x6y14 in the binomial expansion of (3×2−4y7)5?

#### Q.6. Which of the following are properties of Pascal’s triangle ?

- Sum of number of elements in each row is a power of 2
- It is symmetric about a central vertical axis.
- It contains all powers of 11
**All of these**

#### Q.7. In how many ways can you go from (0,0) to (7,7) on a square grid without trespassing the diagonal and moving only right or up?

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#### Q.8. Which of the following is/are equal to the Euler’s number (e) ?

**Answer:**B

#### Q.9. What will be coefficient of xy4z in the binomial expansion of (2x+5y+7z)6

#### Q.10. There are 3 students from class A and 7 students from class B who are taking part in a hackathon in which teams of 2 participants each compete against each other. Find the number of ways we can form teams where each class A student is paired with a class B student and the remaining class B students are paired among with themselves i.e. pair which has both students from class B.

**NPTEL Discrete Mathematics Assignment 1 Answers Join Group👇 **

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#### About NPTEL Discrete Mathematics Course:

The course will be an introduction to Discrete Mathematics which comprises of the essentials for a computer science student to go ahead and study any other topics in the subject. The emphasis will be on problem solving as well as proofs. We will be providing motivational illustrations and applications through out the course. The course doesn’t assume any pre-requisites except for high school level arithmetic and algebra.

**Course Outcome:**

**Week 1:**Counting**Week 2:**Set Theory**Week 3:**Logic**Week 4:**Relations**Week 5:**Functions**Week 6:**Mathematical Induction and Pegionhole Principle**Week 7:**Graph Theory – 01**Week 8:**Graph Theory – 02**Week 9:**Graph Theory – 03 and Generating Functions**Week 10:**Principle of Inclusion-Exclusion**Week 11:**Recurrence relations**Week 12:**Advanced Topics

**CRITERIA TO GET A CERTIFICATE**:

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

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