Home
Class 12
MATHS
Find the coefficient of a^3b^4c in the e...

Find the coefficient of `a^3b^4c` in the expansion of `(1+a-b+c)^9dot`

Text Solution

Verified by Experts

`(1+a-b+c)^(9) = sum(9!)/(n_(1)!n_(2)!n_(3)!n_(4)!).(1)^(n_(1))(a)^(n_(2))(-b)^(n_(3))(c )^(n_(4))`
For `a^(3)b^(4)c, n_(2) = 3, n_(3) = 4, n_(4) = 1` and `n_(1) = 1`.
`:.` Coefficient of `a^(3)b^(4)c = (9!)/(1! xx 3! xx 4! xx 1!) = (9!)/(3! xx 4!)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.1|17 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.2|10 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|10 Videos

  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of a^3b^4c^5 in the expansion of (b c+c a+a b)^6dot

Find the coefficient of x^7 in the expansion of (1+3x-2x^3)^(10)dot

Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^2+x^3+....)^2dot

Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x^3)^4dot

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

The coefficient of a^(5)b^(6)c^(7) in the expansion of (bc + ca + ab)^(9) is

If A_(i,j) be the coefficient of a^i b^j c^(2010-i-j) in the expansion of (a+b+c)^2010 , then

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

If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3x^2+4x^3+)^(1//2)dot