Home
Class 11
MATHS
The coefficients of x^7 in the expansion...

The coefficients of `x^7` in the expansion of `(x^3+3x+3/x+1/x^3)^5` is

A

odd number

B

even number

C

`,^(15)C_4`

D

`,^(10)C_5`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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^3 in the expansion of (1-x+x^2)^5 is

The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

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

The coefficient of x^5 in the expansion of (1+x^2)(1+x)^4 is

The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is

The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to

The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) is:

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

The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is lamda . Then the number of divisors of lambda of the form 9k _____

Find the coefficients of x^(-2) in the expansion of (2x^(3)-(1)/(x^(2)))^(6)

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Coefficient of x^n in the expansion of (1+x)^(2n) is

    Text Solution

    |

  2. If (1+x+x^2)^n=a0+a1x+...+a(2n)x^(2n) then

    Text Solution

    |

  3. The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

    Text Solution

    |

  4. 3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  5. If (x+1/x+x^2+1/x^2)^11=a0x^(-22)+a1x^(-21)+.....+a44x^(22), then a0+a...

    Text Solution

    |

  6. If (8+3sqrt7)^n=P+F, where P is an integer and F is a proper fraction,...

    Text Solution

    |

  7. Let n=3^(100), then for n

    Text Solution

    |

  8. Let an=(1000)^n/(n!) for n in N. Then an is greatest, when

    Text Solution

    |

  9. Which of the following is/are correct

    Text Solution

    |

  10. Answer the following question based on above passage: The coefficient...

    Text Solution

    |

  11. Answer the following question based on above passage: The coefficient...

    Text Solution

    |

  12. Let P=sum(r=1)^(50)(^(50+r)Cr(2r-1))/(^(50)Cr(50+r)), Q=sum(r=1)^(50)(...

    Text Solution

    |

  13. Let P=sum(r=1)^(50)((50+r)Cr(2r-1))/((50)Cr(50+r)), Q=sum(r=1)^(50)(50...

    Text Solution

    |

  14. In reference to the expansion (1+x)^n=sum(r=0)^nCrx^r, n in N, match t...

    Text Solution

    |

  15. Match List - I with List-II

    Text Solution

    |

  16. Match List - I with List-II

    Text Solution

    |

  17. If 6^83+8^83 is divided by 49, then the sum of the digits of remainder...

    Text Solution

    |

  18. Given (1-2x+5x^2-10x^3)(1+x)^n=1+a1x+a2x^2+.... and that a1^2=2a2, the...

    Text Solution

    |

  19. The digit in the units place of the decimal representation of 7^1000 i...

    Text Solution

    |

  20. The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

    Text Solution

    |