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MadeEasy Full Length Test 2019: Combinatory - Generating Functions [closed]

1 vote
155 views

Let 

 

We define Then ar is equal to.

 

  1. $\binom{r}{2019}$
  1. $\binom{r}{r + 2018}$
  1. $\binom{r}{2019 – r}$
  1. $\binom{r}{r – 2018}$

Can anyone tell me if this type of question is in Gate 2019 syllabus or not because I have never seen such question in previous year question? If yes, then when can I learn this stuff from.  Because I am unable to understand the whole solution.

closed as a duplicate of: MadeEasy Test Series 2019: Combinatory- Generating Functions
in Combinatory
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Related questions

6 votes
2 answers
1
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MadeEasy Test Series 2019: Combinatory- Generating Functions
Let $M(x) = \frac{x^{2018}}{(1-x)^{2019}}$ we define $M(x) = \sum_{r=0}^{\infty}a_{r}x^{r}$ ,then $a_{r}$ is equal to- $A)\binom{r}{2019}$ $B)\binom{r}{r+2018}$ $C)\binom{r}{2019-r}$ $D)\binom{r}{r-2018}$
Let $M(x) = \frac{x^{2018}}{(1-x)^{2019}}$ we define $M(x) = \sum_{r=0}^{\infty}a_{r}x^{r}$ ,then $a_{r}$ is equal to- $A)\binom{r}{2019}$ $B)\binom{r}{r+2018}$ $C)\binom{r}{2019-r}$ $D)\binom{r}{r-2018}$
asked Dec 15, 2018 in Combinatory register_user_19 508 views
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