Discrete Mathematics Week 9 NPTEL

These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers

Course name: Discrete Mathematics

Check and submit Discrete Mathematics Week 9 NPTEL assignment here


Q1. What is the closed-form expression of the generating function for the sequence: 7,0,7,0,7,0……?
a. 1/(1−x2)
b. 1/(1+x2)
c. 7/(1−x2)
d. 7/(1+x2)

Answer: c. 7/(1−x2)


Q2. What is the coefficient of x2 in (1−x)-5?
a. 70
b. 126
c. 56
d. 84

Answer: a. 70


These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers


Q3. What is the sequence in the generating series for the expression 5×2+10×3+15×4+20×5+⋯?
a. 5, 10, 15, 20,…
b. 1, 1, 5, 10, 15, 20,…
c. 0, 5, 0, 10, 0, 15, 0, 20,…
d. 0, 0, 5, 10, 15, 20,…

Answer: d. 0, 0, 5, 10, 15, 20,…


Q4. What is the generating function of the sequence 0, 1, 2, 3, 4, ……….?
a. Derivative of the function (1+x+x2+x3+x4+⋯)
b. (1+x+x2+x3+x4+⋯)
c. Derivative of the function (x+2×2+3×3+4×4+⋯)
d. (1+x+4×2+8×3+16×4+⋯)

Answer: a. Derivative of the function (1+x+x2+x3+x4+⋯)


Keep visiting for further changes


Q5. In how many ways can 200 players be distributed among 10 teams, so that each team gets atleast 7 players and not more than 12?
a. The coefficient of x200 in (x7+x8+x9+x10+x11+x12)12
b. The coefficient of x200 in (x7+x8+x9+x10+x11+x12)7
c. The coefficient of x200 in (x7+x8+x9+x10+x11)10
d. The coefficient of x200 in (x7+x8+x9+x10+x11+x12)10

Answer: d. The coefficient of x200 in (x7+x8+x9+x10+x11+x12)10


These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers


Q6. How many 5 lettered words can be formed from the following words, given that you have to pick one letter per line?

These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers

a. 3
b. 6
c. 8
d. 4

Answer: b. 6


Q7. A bag contains several blue, green, purple and yellow candies, in how many ways can Amit eat 8 candies from these blue, green, purple and yellow colored candies?
a. 495
b. 165
c. 330
d. 32

Answer: b. 165


These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers


Q8. Find the closed form expression of the generating function for the sequence: 1, 11, 121, 1331, 14641……?
a. 1/1−x
b. 1/1−11x
c. 1/1−21x
d. 1/1−2x

Answer: b. 1/1−11x


Q9. State whether true/false:
(1+x)6(1+𝑥)6 is the generating function for the sequence:
(60),(61),(62),…,(65)(66),0,0,0,…

a. True
b. False

Answer: a. True


Q10. The sequence generated by the function x+1/(1−x)3.
a. 1,−1,1,−1,1,−1,…
b. 1, 2, 4, 8, 16,…
c. 12,22,32,42,52,…
d. (−1)2,(2)2,(−3)2,(4)2,(−5)2,…

Answer: c. 12,22,32,42,52,…


These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers

More Discrete Mathematics Weeks Solution: https://progies.in/answers/nptel/discrete-mathematics-solution

More NPTEL Solution: https://progies.in/answers/nptel


* The material and content uploaded on this website are for general information and reference purposes only. Please do it by your own first. COPYING MATERIALS IS STRICTLY PROHIBITED.


More from PROGIEZ

These are the solution of Discrete Mathematics Week 9 NPTEL Assignment 9 Solution Answers