Home
Class 12
MATHS
Find the coefficient of x^5 in the expan...

Find the coefficient of `x^5` in the expansion of `(1+x)^(21)+(1+x)^(22)++(1+x)^(30)dot`

A

`""^(51)C_(5)`

B

`""^(9)C_(5)`

C

`""^(31)C_(6)-""^(21)C_(6)`

D

`""^(30)C_(5)+""^(20)C_(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^5 in the expansion of (1 + 2x)^6 (1-x)^7 .

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

Find the coefficient of x^n in the expansion of (1+x)(1+x)^ndot

Find the coefficient of x^(6) in the expansion of (1-2x)^(-5//2) .

The coefficient of x^9 in the expansion of (1-5x)/(1+x) is

Find the coefficient of x in the expansion of (1-3x+7x^2)(1-x)^(16) .

The coefficient of x^n in the expansion of (1+x)(1-x)^n is

VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |

  2. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

    Text Solution

    |

  3. Find the coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...

    Text Solution

    |

  4. If n > 1 is an integer and x!=0, then (1 +x)^n-nx-1 is divisible by

    Text Solution

    |

  5. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is -83 b. -82 c...

    Text Solution

    |

  6. The numberof integral termsin the expansion of ( (3)-root(8)(5))^256 i...

    Text Solution

    |

  7. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |

  8. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

    Text Solution

    |

  9. Find the positive integer just greater than (1+0. 0001)^(10000)dot

    Text Solution

    |

  10. The term independent of a in the expansion of (1+sqrt(a)+1/(sqrt(a)-1)...

    Text Solution

    |

  11. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

    Text Solution

    |

  12. In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...

    Text Solution

    |

  13. The range of values of the term independent of x in the expansion ...

    Text Solution

    |

  14. Find the sum +^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9dot

    Text Solution

    |

  15. Let n in N. If (1+x)^(n)=a(0)+a(1)x+a(2)x^(2)+…….+a(n)x^(n) and a(n)-3...

    Text Solution

    |

  16. The greatest coefficient in the expansion of (1+x)^(2n) is

    Text Solution

    |

  17. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

    Text Solution

    |

  18. The value of sum(i=0)^(n)""^(n-i)C(r),rin[1,n]capsquare is equal to :

    Text Solution

    |

  19. The value of (""^(47)C(4))/(""^(57)C(4))+sum(j=0)^(3)(""^(50-j)C(3))/(...

    Text Solution

    |

  20. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

    Text Solution

    |