Home
Class 11
MATHS
The value of "^30C0.^30C10+^30C1.^30C11+...

The value of `"^30C_0.^30C_10+^30C_1.^30C_11+^30C_2.^30C_(12)+……+^30C_(20) . ^30C_(30`

A

`,^60C_20`

B

`,^30C_10`

C

`,^60C_30`

D

`,^40C_30`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The value of (30,0)(30,10)-(30,1)(30,11)+(30,2)(30,12)-........+(30,20) (30,30) , where (n,r)=nC_r is a. (30,10) b. (30,15) c. (60,30) d. (31,10)

The value of sum_(r=0)^(40) r""^(40)C_(r)""^(30)C_(r) is (a) 40.^(69)C_(29) (b) 40.^(70)C_(30) (c) .^(60)C_(29) (d) .^(70)C_(30)

"^(30)C_(0)*^(20)C_(10)+^(31)C_(1)*^(19)C_(10)+^(32)C_(2)*18C_(10)+....^(40)C_(10)*^(10)C_(10) is equal to

What is the value of (2tan30^@)/(1-tan^2(30^@) ?

Find the values of sin 30^(@) ,cos 30 ^(@) ,tan 30 ^(@) ,cosec 30^(@) ,sec 30 ^(@) and cot 30^(@) by using the ratio concepts .

The term independent of a in the expansion of (1+sqrt(a)+1/(sqrt(a)-1))^(-30)i s ^30 C_(20) b. 0 c. ^30 C_(10) d. none of these

The L.C.M of 36, 30 and 48

(2 tan 30^(@))/( 1-tan ^(2) 30^(@)) =

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

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. If n in I^+ the value of sum(k=1)^n k^3 (^nCk)/(^nC(k-1))^2

    Text Solution

    |

  2. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

    Text Solution

    |

  3. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

    Text Solution

    |

  4. The number of distinct terms in the expansion of (x^3+1+(1/x^3)): xinK...

    Text Solution

    |

  5. The number of integral of integral terms in the expansion of (17^(1/3)...

    Text Solution

    |

  6. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

    Text Solution

    |

  7. The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40)is

    Text Solution

    |

  8. The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2...

    Text Solution

    |

  9. The coefficient of x^(65) in the expansion of (1+x)^(131)(x^2-x+1)^(30...

    Text Solution

    |

  10. Remainder when 5^(40) is divided by 11.

    Text Solution

    |

  11. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

    Text Solution

    |

  12. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

    Text Solution

    |

  13. In the expansion of (x+(a/x^2))^n, (ane0) if term independent of x doe...

    Text Solution

    |

  14. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

    Text Solution

    |

  15. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

    Text Solution

    |

  16. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

    Text Solution

    |

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

    Text Solution

    |

  18. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

    Text Solution

    |

  19. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

    Text Solution

    |

  20. Which of the following will not be true?

    Text Solution

    |