Home
Class 11
MATHS
The number of ways of choosing triplet (...

The number of ways of choosing triplet `(x , y ,z)` such that `zgtmax{x, y}` and `x ,y ,z in {1,2,.......... n, n+1}` is `(A)` `.^n+1C_3+^(n+2)C_3` `(B)``n(n+1)(2n+1)//6` `(C)``1^2+2^2+..............+n^2` `(D)` `2(.^(n+2)C_3)-(.^(n+1)C_2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos

  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

C_1/C_0+2C_2/C_1+3C_3/C_2+............+nC_n/C_(n-1)=(n(n+1))/2

Prove that nC_1(nC_2)^2(n C_3)^3.......(n C_n)^n le ((2^n)/(n+1))^((n+1)C_2),AAn in Ndot

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

Prove that ^n C_1(^n C_2)(^n C_3)^3(^n C_n)^nlt=((2^n)/(n+1))^(n+1_C()_2),AAn in Ndot

If n > 3, then x y C_0-(x-1)(y-1)C_1+(x-2)(y-2)C_2-(x-3)(y-3)C_3+..............+(-1)^n(x-n)(y-n)C_n, equals

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

(n+2)C_0(2^(n+1))-(n+1)C_1(2^(n))+(n)C_2(2^(n-1))-.... is equal to

The standard deviation of the data: x : , 1, a , a^2 , ..., a^n f: , ^n C_0 , ^n C_1 , ^n C_2 , ..., ^n C_n is ((1+a^2)/2)^n-((1+a)/2)^(2n) (b) ((1+a^2)/2)^(2n)-((1+a^2)/2)^(2n) (c) ((1+a)/2)^(2n)-((1+a^2)/2)^n (d) none of these

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r)...

    Text Solution

    |

  2. Number of ways of selecting three integers from {1,2,3, , n} if their ...

    Text Solution

    |

  3. The number of ways of choosing triplet (x , y ,z) such that zgtmax{x,...

    Text Solution

    |

  4. Find the value of 4C1 - 2C2

    Text Solution

    |

  5. If a seven-digit number made up of all distinct digits 8, 7, 6, 4, ...

    Text Solution

    |

  6. If n is number of necklaces which can be formed using 17 identical pea...

    Text Solution

    |

  7. In how many ways can two distinct subsets of the set A of k(kgeq2) ...

    Text Solution

    |

  8. There are 2n guests at a dinner party. Supposing that eh master an...

    Text Solution

    |

  9. There are n straight lines in a plane in which no two are parallel and...

    Text Solution

    |

  10. Prove that the number of ways to select n objects from 3n objects...

    Text Solution

    |

  11. An ordinary cubical dice having six faces marked with alphabets A, ...

    Text Solution

    |

  12. How many five-digit numbers can be made having exactly two identica...

    Text Solution

    |

  13. The members of a chess club took part in a round robin competition ...

    Text Solution

    |

  14. Find the number of three-digit numbers from 100 to 999 including al...

    Text Solution

    |

  15. Find the number of ways of disturbing n identicalobjects among n perso...

    Text Solution

    |

  16. There are n points in a plane in which no three are in a straight ...

    Text Solution

    |

  17. The number of arrangements of the letters of the word BANANA in whic...

    Text Solution

    |

  18. Seven relatives of a man comprises four ladies and three gentlemen:...

    Text Solution

    |

  19. A three-digit number is to be formed using the digits 0, 1, 2, 3, 4, a...

    Text Solution

    |

  20. If N is the number of ways in which 3 distinct numbers canbe select...

    Text Solution

    |