Solveeit Logo

Question

Question: \[n:r\]...

n:rn:r

A

x:nx:n

B

(1+x)2n(1 + x)^{2n}

C

(1+x)2n1(1 + x)^{2n - 1}

D

None of these

Answer

x:nx:n

Explanation

Solution

We know that

(1+x)n=C0+C1x+C2x2+..........+Cnx2,(1 + x)^{n} = C_{0} + C_{1}x + C_{2}x^{2} + .......... + C_{n}x^{2},

So, C02+C12+C22+C32+......+Cn2C_{0}^{2} + C_{1}^{2} + C_{2}^{2} + C_{3}^{2} + ...... + C_{n}^{2}