Home
Class 12
MATHS
Statement-1: The coefficient of a^(3)b^(...


Statement-1: The coefficient of `a^(3)b^(4)c^(3)` in the expansion of `(a-b+c)^(10)` is `(10!)/(3!4!3!)`
Statement-2: The coefficient of `x^(p)y^(q)z^(r)` in the expansion of `(x+y+z)^(n)` is `(n!)/(p!q!r!)` for all integer n.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-G) Objective type question (Integer Answer Type Questions)|1 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-H) Objective type question (Multiple True-False Type Questions)|2 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|10 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^2 y^5 z^3 in the expansion of (2x + y + 3z)^10 is

The coefficient of x^2y^4z^2 in the expansion of (2x - 3y + 4z)^9 is

The coefficients of x^(p) and x^(q)(p,q in N) in the expansion of (1+x)^(p+q) are

The coefficient of a^(-6) b^(4) in the expansion of ((1)/(a) - (2b)/(3))^(10) is......

The coefficient of a^(-6) b^(4) in the expansion of ((1)/(a) - (2b)/(3))^(10) is......

Coefficient of n^(-r) in the expansion of log_(10)((n)/(n-1)) is

Statement-1 Greatest coefficient in the expansion of (1 + 3x)^(6) " is " ""^(6)C_(3) *3^(3) . Statement-2 Greatest coefficient in the expansion of (1 + x)^(2n) is the middle term .

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(11) is where ({:(n),(r):}) = nC_(r)

STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2)^(m) is ((2m) !)/((m !)^(2)) STATEMENT - 2 : The coefficient of x^(b) in the expansion of (1+x)^(n) is .^(n)C_(b) .

The number of terms in the expansion of (2x+3y-4z)^n is