Home
Class 12
MATHS
In the expansion of (x +y + z)^25...

In the expansion of `(x +y + z)^25`

A

every term is of the term form `.^(25)C_(r), .^(r )C_(k).x^(25-r), y^(r-k). z^(k)`

B

the coefficient of `x^(8)y^(9)z^(9)` is 0

C

the number of terms is 325

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The number of terms in the expansion of (x + y + z)^(10) , is

The coefficient of x^(8) y^(6) z^(4) in the expansion of (x + y + z)^(18) , is not equal to

The total number of terms in the expansion of (2x - y + 4z)^(12) ,is

Find the number of distinct terms in the expansion of (x + y + z + u)^(10) . (where x, y, z and u are independent variable)

If n is positive integer, then the no. of terms in the expansion of (x+y+z)^n is

The greatest coefficient in the expansion of (x+y+z+t)^(15), is

(i) Find the coefficient of x^(3)y^(4)z^(2)t^(5) in the expansion of (x-y+z-t)^(14) . (ii) Find the coefficient of x^(10)y^(12)z^(8) in the expansion of (xy+yz+zx)^(15)

The number of terms in the expansion of (x+y+z)^(n) is

RESONANCE-DPP-QUESTION
  1. 5 Indian & 5 American couples meet at a party& shake hands. If no wife...

    Text Solution

    |

  2. The coefficient of x^4 in ((1+x)/(1-x))^2,|x|<1, is

    Text Solution

    |

  3. In the expansion of (x +y + z)^25

    Text Solution

    |

  4. If S(1),S(2),S(3),"…….",S(2n) are the same of infinite geometric serie...

    Text Solution

    |

  5. if x,y,z be positive real number such that log(2x)z=3, log(5y) z= 6 an...

    Text Solution

    |

  6. The number of ways in which 8 distinguishable apples can be distribute...

    Text Solution

    |

  7. Distinct 3 digit numbers are formed using only the digits 1,2,3,4 wit...

    Text Solution

    |

  8. In equilateral triangle ABC with interior point D, if the perpendicula...

    Text Solution

    |

  9. An equilateral triangle has each of its sides of length 6 cm. If (x(1)...

    Text Solution

    |

  10. A line is drawn through the point (1, 2) to meet the coordinate axes ...

    Text Solution

    |

  11. Let (2,-1) be the point P and x- y + 1 =0 be the straight line l. If Q...

    Text Solution

    |

  12. Equation of the inclined at an angle of 45^(@) with positive x-axis an...

    Text Solution

    |

  13. The coordinates of the midpoints of the sides of a triangle A B C are ...

    Text Solution

    |

  14. Consider a right triangle with legs of length a and b and hypotenuse o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. A team of 10 plyers is formed out of 22 players , if 6 particular play...

    Text Solution

    |

  18. In a telephone system four different letter P,R, S, T and the four dig...

    Text Solution

    |

  19. A regular polygon has 20 sides. How many triangles can be drawn by usi...

    Text Solution

    |

  20. How many necklace of 11 beads each can be made from 23 beads of variou...

    Text Solution

    |