Home
Class 11
MATHS
The coefficient of x^(50) in (1+x)^(41)(...

The coefficient of `x^(50)` in `(1+x)^(41)(1-x+x^2)^(40)`is

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(n) in (1+x)^(101) (1-x+x^(2))^(100) is nonzero, then n cannot be of the form

The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) is-

Find the coefficient of x^(18) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

The coefficient of x^(103) in (1+x+x^(2) +x^(3)+x^(4))^(199)(x-1)^(201) is "___" .

Find the coefficient of x^7 in (x^2+(1/x))^11

The coefficient of x^(50) in (x+^(101)C_(0))(x+^(101)C_(1)).....(x+^(101)C_(50)) is

The coefficient of x^m in (1+x)^r+ (1+x)^(r+1)+(1+x)^(r+2)+………+(1+x)^n , rlemlen is

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

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The number of integral of integral terms in the expansion of (17^(1/3)...

    Text Solution

    |

  2. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

    Text Solution

    |

  3. The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40)is

    Text Solution

    |

  4. The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2...

    Text Solution

    |

  5. The coefficient of x^(65) in the expansion of (1+x)^(131)(x^2-x+1)^(30...

    Text Solution

    |

  6. Remainder when 5^(40) is divided by 11.

    Text Solution

    |

  7. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

    Text Solution

    |

  8. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

    Text Solution

    |

  9. In the expansion of (x+(a/x^2))^n, (ane0) if term independent of x doe...

    Text Solution

    |

  10. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

    Text Solution

    |

  11. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

    Text Solution

    |

  12. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

    Text Solution

    |

  13. The coefficient of the middle term in the expansion of (1+x)^(2n) is

    Text Solution

    |

  14. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

    Text Solution

    |

  15. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

    Text Solution

    |

  16. Which of the following will not be true?

    Text Solution

    |

  17. Consider following two infinite series in real r and 0 C=1+rcostheta...

    Text Solution

    |

  18. Consider following two infinite series in real r and 0 C=1+rcostheta...

    Text Solution

    |

  19. First three terms in the expansion of (x+a)^n are respectively 128, 22...

    Text Solution

    |

  20. The sum of even terms in the expansion of (x+a)^n is

    Text Solution

    |