Home
Class 12
MATHS
(51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4...

`(51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4)` is equal to (where `(n r)` denotes `n C_r` ) `(52 1)` b. `(52 2)` c. `(52 3)` d. `(52 4)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

5.2 - 3.6 is equal to

The value of C(47,4)+C(51,3)+C(50,3)+C(49,3)+C(48,3)+C(47,3) is equal to

If \ ^(15)C_(3r)=\ \ ^(15)C_(r+3)\ then\ r is equal to a. 5 b. 4 c. 3 d. 2

Prove that: .^(47)C_(4) + .^(51)C_(3) +^(50)C_(3)+^(49) C_(3) +^(48)C_(3) +^(47)C_(3) =^(52)C_(4)

A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and also perpendicular to this line, then the point lies on the plane can be (a) (1,-2,3) (b) (1,2,2) (c) (3,-5,2) (d) (3,-1,0)

The value of sum_(r=0)^(50)(-1)^r((50)C_r)/(r+2) is equal to a . 1/(50xx51) b. 1/(52xx50) c. 1/(52xx51) d. none of these

The value of expression .^47 C_4+sum_(j=1)^5.^(52-j)C_3 is equal to a. .^47 C_5 b. .^52 C_5 c. .^52 C_4 d. none of these

Find the value of ""^(47)C_4+ underset (r=1) overset( 5) sum ""^(52-r)C_3

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

If (1 + x)^(n) = C_(0) + C_(1)x + C_(2) x^(2) + c_(3) x^(3) + …+ C_(n) x^(n) , show that sum_(r=0)^(n) (C_(r) 3^(r+4))/((r+1)(r+2)(r+3)(r+4)) = (1)/((n+1)(n+2)(n+3)(n+4))(4^(n+4) -sum_(t=0)^(3) ""^(n+4)C_(t)) .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  2. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  3. (51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4) is equal to (where (n r) d...

    Text Solution

    |

  4. A die is thrown 500 times with frequency for outcomes 1, 2, 3,4, 5, 6 ...

    Text Solution

    |

  5. In a group of 60 persons, each takes at least one of coffee or tea. If...

    Text Solution

    |

  6. If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc = 3 then 1/a+1/b+1/c is equal t...

    Text Solution

    |

  7. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  8. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^...

    Text Solution

    |

  9. If alpha + beta = 90^@ and beta + gamma = alpha then tanalpha-tanbeta=...

    Text Solution

    |

  10. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Show that the relation R defined in the set A of all triangles as R={...

    Text Solution

    |

  13. The number of distinct normals that can be drawn from (2,-1) to the pa...

    Text Solution

    |

  14. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  15. If 4a^2+b^2+2c^2+4a b-6a c-3b c=0, then the family of lines a x+b y+c=...

    Text Solution

    |

  16. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  17. A 10 digit numbers is chosen with odd digits. If the probability th...

    Text Solution

    |

  18. If (log)(10)(1025)/(1024)=alpha and (log)(10) 2=beta, then the value o...

    Text Solution

    |

  19. tangents are drawn to x^2+y^2=a^2 at the points A(acos theta, a sin th...

    Text Solution

    |

  20. N fair coins are flipped once. The probability that at most 2 of the c...

    Text Solution

    |