Discrete Mathematics | Week 9

Quiz

Link : Discrete Mathematics Week 9 (nptel.ac.in)

1. What is the closed-form expression of the generating function for the sequence: 7,0,7,0,7,0……?

c. 7/ (1-x2)

Explanation

2. What is the coefficient of 𝑥4 in (1−x)-5?

a. 70

Explanation

3. What is the sequence in the generating series for the expression 5x2+10x3+15x4+20x5+⋯?

d. 0, 0, 5, 10, 15, 20,…

Explanation

4. What is the generating function of the sequence 0, 1, 2, 3, 4, ……….?

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

Explanation

5. In how many ways can 200 players be distributed among 10 teams, so that each team gets at least 7 players and not more than 12?

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

Explanation

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

b. 6

Explanation

7. 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?

b. 165

Explanation

8. Find the closed form expression of the generating function for the sequence: 1, 11, 121, 1331, 14641……?

b. 1/(1−11x)

Explanation

9. State whether true/false:
(1+𝑥)6 is the generating function for the sequence:
(6/0), (6/1), (6/2), …, (6/5), (6/6),0,0,
0,

a. True

Explanation

10. The sequence generated by the function (x+1)/(1−x)3 .

c. 12, 22, 32, 42, 52 ,…

Explanation

Report any Question

Give Explaination

* The material and content uploaded on this website are for general information and reference purposes only and don’t copy the answers of this website to any other domain without any permission or else copyright abuse will be in action.

Please do it by your own first!

DMCA.com Protection Status

close button
5 1 vote
Article Rating
Subscribe
Notify of
guest

0 Comments
Inline Feedbacks
View all comments
AdBlock Detected

Looks like you are using an ad-blocking browser extension. We request you to whitelist our website on the ad-blocking extension and refresh your browser to view the content.

0
Would love your thoughts, please comment.x
()
x