Home
Class 11
MATHS
The coefficient of x^8y^(10) in the expa...

The coefficient of `x^8y^(10)` in the expansion of `(x+y)^(18)` is a. `\ ^(18)C_8` b. `\ ^(18)P_(10)` c. `2^(18)` d. none of these

Text Solution

Verified by Experts

Suppose the `(r+1)` th term contains `x^{8} y^{10}`.
we have
`T_{r+1}=\ ^{18} C_{r}\ ^{18-r} y^{r}`
For the coefficient of `x^{8} y^{10}`
We have `r=10`
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

The coefficient of a^(8)b^(6)c^(4) in the expansion of (a+b+c)^(18) is

The coefficient of x^(8) y^(6) z^(4) in the expansion of (x + y + z)^(18) , is not equal to

The coefficient of x^(18) in the expansion (1+x)(1-x)^(10)(1+x+x^(2))^(9) is

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

The coefficient of a^7b^8 in (a+2b+4ab)^(10)=k.2^(18) . Find k.

If ^(18)C_(x)=^(18)C_(x+2),f in dx

In the expansion of (x-1) (x-2) …(x-18) , the coefficient of x^(17) is

Find ""^(18)C_(3)+^(18)C_(2)

Let f(x)=e^(cos^(-1){sin(x+(pi)/(3))}) Then,f((8 pi)/(9))=(a)e^(5 pi/18)( b) e^(13 pi/18)(c)e^(-2 pi/18) (d) none of these

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the term independent o f x in the expansion of the following expr...

    Text Solution

    |

  2. If A and B respectively denote the sum of the odd terms and sum of the...

    Text Solution

    |

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

    Text Solution

    |

  4. The coefficient of x^4 in (x//2-3//x^2)^10 is

    Text Solution

    |

  5. The number of terms in the expansion of (x+a)^100+(x-a)^100 after simp...

    Text Solution

    |

  6. If T2/T3 in the expansion of (a + b)^n and T3/T4 in the expansion o...

    Text Solution

    |

  7. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)...

    Text Solution

    |

  8. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

    Text Solution

    |

  9. If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...

    Text Solution

    |

  10. The coefficient of x^(-3) in the expansion of (x-m/x)^(11) is a. -924 ...

    Text Solution

    |

  11. The coefficient of the term independent of x in the expansion of (a x+...

    Text Solution

    |

  12. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...........

    Text Solution

    |

  13. The coefficient of x^8y^(10) in the expansion of (x+y)^(18) is a. \ ^(...

    Text Solution

    |

  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

    Text Solution

    |

  15. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

    Text Solution

    |

  16. The middle term in the expansion of ((2x)/3-3/(2x^2))^(2n) is a. \ ^(2...

    Text Solution

    |

  17. If r^(th) term is the middle term in the expansion of (x^2-1/(2x))^...

    Text Solution

    |

  18. The number of terms with integral coefficients in the expansion of (...

    Text Solution

    |

  19. Constant term in the expansion of (x-1/x)^(10) is a. 152 b. -152 c. -2...

    Text Solution

    |

  20. If the coefficients of x^2a n d\ x^3 in the expansion of (3+a x)^9are ...

    Text Solution

    |