Home
Class 11
MATHS
Statement 1: The total number of dissimi...

Statement 1: The total number of dissimilar terms in the expansion of `(x_1+x_2++x_n)^3i s(n(n+1)(n+2))/6dot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

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

Find the totoal number of distnct or dissimilar terms in the expansion of (x + y + z + w)^(n), n in N

The number of terms in the expansion of (x^2+1+1/x^2)^n, n in N , is:

Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000)i s4001. Statement 2: The number of distinct terms in expansion (a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot

Find the number of terms in the expansion of (1-2x+x^(2))^(n) .

The middle terms in the expansion of (1+x)^(2n+1) is (are)

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

Find the middle term in the expansion of : (1-2x+x^2)^n

Statement-1 The number of terms in the expansion of (x + (1)/(x) + 1)^(n) " is " (2n +1) Statement-2 The number of terms in the expansion of (x_(1) + x_(2) + x_(3) + …+ x_(m))^(n) "is " ^(n + m -1)C_(m-1) .

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. If |x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+...... is eq...

    Text Solution

    |

  2. Statement 1: If p is a prime number (p!=2), then [(2+sqrt(5))^p]-2^(p+...

    Text Solution

    |

  3. Statement 1: The total number of dissimilar terms in the expansion of ...

    Text Solution

    |

  4. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

    Text Solution

    |

  5. Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^...

    Text Solution

    |

  6. Evaluate 3C2

    Text Solution

    |

  7. Evaluate 5C2

    Text Solution

    |

  8. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

    Text Solution

    |

  9. Find n if nP1=2

    Text Solution

    |

  10. Evaluate 5P2

    Text Solution

    |

  11. The value of ("^n C0)/n+("^nC1)/(n+1)+("^nC2)/(n+2)+....+("^nC n)/(2n)...

    Text Solution

    |

  12. The value of "^20 C0+^(20)C1+^(20)C2+^(20)C3+^(20)C4+^(20)C 12+^(20)C ...

    Text Solution

    |

  13. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x+a2x^2++an x^n , then the value ...

    Text Solution

    |

  14. hat A hat A 404 C4 hatA hat aprime hat A hat A 4C1 hat A hat A hat A 3...

    Text Solution

    |

  15. The sum of series ""^(20)C0-""^(20)C1+""^(20)C2-""^(20)C3+...............

    Text Solution

    |

  16. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , then C0C2+C1C3+C2C4+...+C(n-2)Cn=...

    Text Solution

    |

  17. The value of lim(n-&gt;oo)sum(r=0)^(n)(sum(t=0)^(r-1)1/(5^n)*"^n Cr*"^...

    Text Solution

    |

  18. Prove that C0-2^2C1+3^2C2-4^2C3++(-1)^n(n+1)^2xxCn=0w h e r eCr=^n Cr ...

    Text Solution

    |

  19. The remainder, if 1+2+2^2+.......+2^(1999) is divided by 5 is.

    Text Solution

    |

  20. Find the largest real value of x such that sum(k=0)^4((3^(4-k))/((4-k)...

    Text Solution

    |