Home
Class 11
MATHS
Find the number of terms in the expansio...

Find the number of terms in the expansion of `(a+b+c)^ndot`

Text Solution

Verified by Experts

A is the correct choice. We have
`(a+b+c)^n`
`=[a+(b+c)^n]`
`=a^n+n_(C_1) a^(n-1) (b+c)^1+n_(C_2) a^(n-2) (b+c)^2+.......+n_(C_n) (b+c)^n`
...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

Find the number of terms in the expansion of (x^2 - y)^16

Find the number of terms in the expansion of (a+b+c+d+e)^100

Find the number of terms in the expansion of (2/p +p/2)^8

The number of terms in the expansion of (ax+by+cz)^(n) is

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Write the number of the coefficients in the expansion of (1-3x+3x^2-x^...

    Text Solution

    |

  2. Write the sum of the coefficients in the expansion of (1-3x+x^2)^111.

    Text Solution

    |

  3. Find the number of terms in the expansion of (a+b+c)^ndot

    Text Solution

    |

  4. Write last two digits of the number 3^(400)dot

    Text Solution

    |

  5. Find the 8th term in the expansion of (x^(3/2)y^(1/2)-x^(1/2)y^(3/2))^...

    Text Solution

    |

  6. If n is a positive integer, find the coefficient of x^(-1) in the expa...

    Text Solution

    |

  7. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

    Text Solution

    |

  8. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

    Text Solution

    |

  9. Find the number of terms in the expansions of the following: (2x-3y)^9

    Text Solution

    |

  10. Find the number of terms in the expansions of the following: (1+3sqrt(...

    Text Solution

    |

  11. Find the number of terms in the expansions of the following: (sqrt(x)+...

    Text Solution

    |

  12. Find the number of terms in the expansions of the following: (3x+y)^8

    Text Solution

    |

  13. Find the number of terms in the expansions of the following: \ (2x+3y-...

    Text Solution

    |

  14. Find the number of terms in the expansions of the following:\ (1+2x+x^...

    Text Solution

    |

  15. Expand (2x-3y)^4 by binomial theorem.

    Text Solution

    |

  16. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

    Text Solution

    |

  17. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

    Text Solution

    |

  18. Using binomial theorem, expand (x-1/x)^(6)dot

    Text Solution

    |

  19. Find an approximation of (0. 99)^5 using the first three terms of its ...

    Text Solution

    |

  20. Using binomial theorem compute : (99)^5

    Text Solution

    |