Home
Class 12
MATHS
The coefficients of x^(13) in the expan...

The coefficients of `x^(13)` in the expansion of
` (1 - x)^(5) (1 + x + x^(2) + x^(3) )^(4)` , is

A

4

B

6

C

32

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-1 (CONCEPT BUILDER )|60 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 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^(4) in the expansion of (1-x)^(-2) is

the coefficient of x^(r) in the expansion of (1 - 4x )^(-1//2) , is

The coefficient of x^(4) in the expansion of (1+x-2x^(2))^(7) is :

The coefficient of x^(4) in the expansion of (1-x-2x^(2))^(8) 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))^(6) is

DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
  1. If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n is

    Text Solution

    |

  2. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

    Text Solution

    |

  3. If coefficient of a^2b^3c^4in(a+b+c)^m(w h e r em in N)i sL(L!=0) , t...

    Text Solution

    |

  4. The number of dissimilar terms in the expansion of (a+b)^(n) is n+1, ...

    Text Solution

    |

  5. The sum of rational term in (sqrt(2)+3 3+5 6)^(10) is equal to 12632 b...

    Text Solution

    |

  6. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  7. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

    Text Solution

    |

  8. The coefficients of x^(13) in the expansion of (1 - x)^(5) (1 + x...

    Text Solution

    |

  9. If x is so small that x^3 and higher powers of x may be neglectd, then...

    Text Solution

    |

  10. If (r+1)^(th) term is (3.5...(2r-1))/(r!) (1/5)^(r), then this is th...

    Text Solution

    |

  11. The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(...

    Text Solution

    |

  12. If the third in the expansion of [x + x^(log 10x)]^(6) is 10^(6) ,...

    Text Solution

    |

  13. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

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

    Text Solution

    |

  15. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

    Text Solution

    |

  16. The sum sum(i=0)^(m)""^(10)C(i)xx""^(20)C(m-i)("where " ""^(p)C(q)=0" ...

    Text Solution

    |

  17. If m = ( 2013) ! then the value of (1)/(log(2)m) + ( 1)/( log(3)m ) + ...

    Text Solution

    |

  18. sum(r=0)^n nCr (sin rx) is equal to

    Text Solution

    |

  19. Let t(n) denote the n^(th) term in a binomial expansion. If (t(6))/(t...

    Text Solution

    |

  20. The value of the expression 1-((n/1).((1+x)/(1+nx))+((n(n-1))/(1.2))((...

    Text Solution

    |