If a r is the coefficient of x 10 - r in the Binomial expansion of ( 1 + x ) 10 , then r = 1 10 r 3 ( a r a r - 1 ) 2 is equal to [2023]

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Solution

Q.
If $a_{r}$ is the coefficient of $x^{10 - r}$ in the Binomial expansion of ${(1 + x)}^{10}$ , then $\sum_{r = 1}^{10} r^{3} {(\frac{a_{r}}{a_{r - 1}})}^{2}$ is equal to [2023]

1 3025

2 1210

3 5445

4 4895

Ans.
(2)

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