Home
Class 12
MATHS
The coefficient of x^(50) in the expansi...

The coefficient of `x^(50)` in the expansion `sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k)` is also equal to :

A

Number of ways in which 50 identical books can be distributed in 100 students, if each student can get atmost one book.

B

Number of ways in which 100 different white balls and 50 identical red balls can be arranged in a circle, if no two red balls are together.

C

Number of dissimilar terms in `(x_(1)+x_(2)+x_(3)+….+x_(50))^(51)`.

D

`(2*6*10*14……198)/(50!)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

  • PARABOLA

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|2 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^100 in the expansion sum_(r=0) ^ 200 ( 1+x)^r is

The coefficient of x^(53) in the expansion sum_(m=0)^(100)^100C_m(x-3)^(100-m)2^m is (a) 100 C_(47) (b.) 100 C_(53) (c.) -100C_(53) (d.) none of these

Find coeff. of x^(25) in the expansion of sum_(k=0)^(50)(-1)^(k)""^(50)C_(k)(2x-3)^(50-k)(2-x)^(k) .

sum_(k=0)^(5)(-1)^(k)2k

The coefficient of x^53 in sum_(r = 0)^(100) ""^100C_r (x - 3)^(100 - r) .2^r is

Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x^2)^(100)dot

If the coefficient of x^(6) in the expansion of (2+x)^(3)(3+x)^(2)(5+x)^(3) is K, then the value of (K)/(100) is

What is the coefficient of x^(100) in the expansion of (1+x+x^2+x^3+.....+x^100)^3

If the coefficient of x in the expansion of (x^2 +k/x)^5 is 270, then k =

The value of the expression Sigma_(k=0)^(27)k.^(27)C_(k)((1)/(3))^(k)((2)/(3))^(27-k) is equal to