Home
Class 12
MATHS
If n(1)+n(2)+n(3)+n(4)=20 such that n(i)...

If `n_(1)+n_(2)+n_(3)+n_(4)=20` such that `n_(i)gei+1AAiin{1,2,3,4}` and `n_(i)"n" inI` then number of solutions are

A

84

B

126

C

286

D

140

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos
  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

Let N be the number of integer solutions of the equation n_(1) + n_(2) + n_(3) + n_(4)= 17 when n ge 1, n_(2) ge -1, n_(3) ge 3, n_(4) ge 0 . If N= ""^(17)C_(K) , then find K.

Let n_1ltn_2ltn_3ltn_4ltn_5 be positive integers such that n_1+n_2+n_3+n_4+n_5="20. then the number of distinct arrangements n_1, n_2, n_3, n_4, n_5 is

If n_(1) , n_(2) , n_(3) ,….., n_(100) are positive real numbers such that n_(1)+n_(2)+n_(3)+…+n_(100)=20 and k=n_(1)(n_(2)+n_(3)+n_(4))(n_(5)+n_(6)+…+n_(9))(n_(10)+….+n_(16))…(…+n_(100)) , then k belongs to

A coin is tossed. If head appears a fair die is thrown three times otherwise a biased die with probability of obtaining an even number twice as that of an odd number is thrown three times. If (n_(1),n_(2),n_(3)) is an outcome, (1 le n_(1) le6) and is found to satisfy the equation i^(n_(1))+i^(n_(2))+i^(n_(3))=1 , , then the probability that a fair die was thrown is (where i=sqrt(-1))

A light passes through many parallel slans one by one as shown in figure. Prove that n_(1) sin i_(1) = n_(2) sin i_(3) sin = n_(4) sin i_(4) = ..... [Remember this]. Also prove that if n_(1) = n_(4) then light rays in medium n_(1) and in medium n_(4) are parallel.

i ^n+i ^(n+1)+i ^(n+2)+i ^(n+3) (n∈N) is equal to

If sum_(i=1)^n(x_i+1)^2=9n and sum_(i=1)^n(x_i-1)^2=5n , then standard deviation of these 'n' observations (x_1) is: (1) 2sqrt(3) (2) sqrt(3) (3) sqrt(5) (4) 3sqrt(2)

Find the integral solution for n_(1)n_(2)=2n_(1)-n_(2), " where " n_(1),n_(2) in "integer" .

Observe the following statements : (A) : 10 is the mean of a set of 7 obervations and 5 is the mean of a set of 3 observations. The mean of a combined set is 9. (R ) : If bar(x)_(i)(i = 1,2,…,k) are the means of k - series n_(i)(I = 1,2,3,…,k) respectively, then the combined or composite mean is bar(x) = (n_(1)bar(x)_(1) + n_(2) bar(x)_(2) + ...+ n_(k)bar(x_(k)))/(n_(1)+n_(2)+...+n_(k))

If i=sqrt(-1), the number of values of i^(-n) for a different n inI is

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is

    Text Solution

    |

  2. If in the expansion of (1/x+xtanx)^5 the ratio of 4^(th) term to the ...

    Text Solution

    |

  3. If n(1)+n(2)+n(3)+n(4)=20 such that n(i)gei+1AAiin{1,2,3,4} and n(i)"n...

    Text Solution

    |

  4. The number of 4 digit numbers that can be made using exactly two digit...

    Text Solution

    |

  5. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  6. Let N=3^(n(1))+5^(n(2))+9^(n(3)) where n(1),n(2),n(3)epsilon[1,9]. The...

    Text Solution

    |

  7. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

    Text Solution

    |

  8. If f''(x) gt forall in R, f(3)=0 and g(x) =f(tan^(2)x-2tanx+4y)0ltxlt(...

    Text Solution

    |

  9. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

    Text Solution

    |

  10. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  11. The projection of hati+hatj+hatk on the whole equation is vecr=(3+lamd...

    Text Solution

    |

  12. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  13. For N=50400 the number of divisor of N, which are divisible by 6, divi...

    Text Solution

    |

  14. The correct statements of the following

    Text Solution

    |

  15. A ship is fitted with three engines E1,E2 and E3. The engines function...

    Text Solution

    |

  16. There are n identical red balls & m identical green balls. The number ...

    Text Solution

    |

  17. Let N be the number of ways in which 10 different prizes be given to 5...

    Text Solution

    |

  18. A lot contains 50 defective and 50 non-defective bulbs.Two bulbs are d...

    Text Solution

    |

  19. For any two events A and B in a sample space:

    Text Solution

    |

  20. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |