Home
Class 12
MATHS
The coefficient of x ^(49) in the produc...

The coefficient of `x ^(49)` in the product `(x-1) (x -2) (x -3) ...(x-50)` is a)`-2250` b)`-1275` c)1275 d)2250

A

`-2250`

B

`-1275`

C

1275

D

2250

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The coefficient of x^(49) in the product (x - 1)(x-3)… (x-99) is

The coefficient of x in the expansion of (1+x)(1+2x)(1+3x)....(1+100x) is a)5050 b)10100 c)5151 d)4950

Find the coefficient of x^5 in the product (1+2x)^6(1-x)^7 using binomial theorem.

The coefficient of x in the expansion of (1-3x+7x^(2))(1-x)^(16) is a)17 b)19 c) -17 d) -19

If | x| lt 1, then the coefficient of x ^(n) in (1 + 2x + 3x ^(2)+ 4x ^(3) +...) ^(1//2), is :

Find the coefficient of x^(2) in ((a)/(a+x))^(1//2)+ ((a)/(a-x))^(1//2)

Derivative of f(x)=1+x+x^2+x^3+…+x^50 at x=1 is a)50 b)1250 c)1275 d) 101/2