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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……?

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Explanation

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

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Explanation

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

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Explanation

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

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?

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

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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?

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

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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,

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Explanation

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

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Explanation

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