Home
Class 11
MATHS
In the expansion of (1+x+x^3+x^4)^10, th...

In the expansion of `(1+x+x^3+x^4)^10,` the coefficient of `x^4` is
a.`.^40C_4` b. `.^10 C_4` c. `210` d. `310`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 144 b. 288 c. 216 d. 576

In the expansion of [(1+x)//(1-x)]^2, the coefficient of x^n will be a. 4n b. 4n-3 c. 4n+1 d. none of these

In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coefficients of x^5a n dx^(10) is zero , then n is a. 25 b. 20 c. 15 d. none of these

Find the coefficient of x^4 in the expansion of (x/2-3/x^2)^10 .

The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. ^30 C_6 d. ^30 C_3

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

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

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

In the expansion of (3^(-x//4)+3^(5x//4))^(n) the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by (n-1) , the value of x must be 0 b. 1 c. 2 d. 3

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

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The coefficient of x^(53) in the expansion of sum(m=0)^(100) ^100Cm(x-...

    Text Solution

    |

  2. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

  3. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is a..^...

    Text Solution

    |

  4. If coefficient of a^(2)b^(3)c^(4) in (a+b+c)^(m) (where m in N) is L (...

    Text Solution

    |

  5. The last two digits of the number 3^(400) are: (A) 81 (B) 43 (C) ...

    Text Solution

    |

  6. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  7. A GP has common ratio 3, last term 486, if the sum of its terms is 728...

    Text Solution

    |

  8. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2+.....+a(20)x^(20),t h e na1 equals a....

    Text Solution

    |

  9. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  10. For which of the following values of x ,5t h term is the numerically g...

    Text Solution

    |

  11. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  12. If the middle term in the expansion of (x/2+2)^8 is 1120, then find t...

    Text Solution

    |

  13. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , t h e n C0-(C0+C1)+(C0+C1+C2)-(C0...

    Text Solution

    |

  14. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

    Text Solution

    |

  15. The value of .^(n)C(1)+.^(n+1)C(2)+.^(n+2)C(3)+"….."+.^(n+m-1)C(m) is ...

    Text Solution

    |

  16. If (1+x)^n=C0+C1x+C2 x^2+...+Cn x^n , n in N ,then C0-C1+C2-.....+(-1...

    Text Solution

    |

  17. The 10th term of (3-sqrt((17)/4+3sqrt(2)))^(20) is (a) a irrational nu...

    Text Solution

    |

  18. Find the geometric mean between2a and 8a^3

    Text Solution

    |

  19. Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....

    Text Solution

    |

  20. The middle term in the expansion of (x/2+2)^8 is 1120, then x in R is...

    Text Solution

    |