Solveeit Logo

Question

Question: If the coefficients of \(x + y = 1\)term and \(\sum_{r = 0}^{n}{{r^{2}}^{n}C_{r}x^{r}y^{n - r}}\)ter...

If the coefficients of x+y=1x + y = 1term and r=0nr2nCrxrynr\sum_{r = 0}^{n}{{r^{2}}^{n}C_{r}x^{r}y^{n - r}}term are equal in the expansion of nx(x+yn)nx(x + yn), then the value of r will be.

A

7

B

8

C

9

D

10

Answer

9

Explanation

Solution

18=231024C0(51/2)1024=5512\frac{1}{8} = 2^{- 3}1024C_{0}\left( 5^{1/2} \right)^{1024} = 5^{512} =1024C8(51/2)1016(71/8)8==^{1024} ⥂ C_{8}(5^{1/2})^{1016}(7^{1/8})^{8} =.