Home
Class 12
MATHS
Let S={(a,b,c)inNxxNxxN:a+b+c=21,aleblec...

Let `S={(a,b,c)inNxxNxxN:a+b+c=21,aleblec}` and `T={(a,b,c)inNxxNxxN:a,b,c` are in A.P. }, where N is the set of all natural numbers. Then the number of elements in the set `SnnT` is

A

6

B

7

C

13

D

14

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

Let S={(a,b,c) in NN xxNNxxNN : a + b + c = 21, aleblec}and T={(a,b,c)inNNxxNNxxNN : a, b, c are in A. P.}, where NN is the set of all natural numbers. Then the number of elements in the set ScapT is___

Let S = {(a,b,c) in N xx N xx N : a+b+c=21, a le ble c} and T = {(a,b,c) in N xx N xx N : a,b,c are in A.P} where N is the set of all natural numbers . Then the numbers of elements in the set S cap T is

If A and B are two finite sets and n(A)=5,n(B)=6 then the minimum number of elements of the set A cup B is

Set A={a,b,c,d} then the number of defined relation in A is

If a,b,c are in A.P .then 3^a , 3^b and 3^c are in

a,b and c are in A.P. Prove that b+c , c+a and a+b are in A.P.

If set A contains p elements and set B contains q elements then their total number of reletions from A to B is-

If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A.P.

Suppose a,b,c are in A.P and a^2 , b^2 , c^2 are in G.P if a

If a, b, c are In A.P., then show that, (a+2b-c) (2b+c-a)(c+a-b) = 4abc

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. If y=e^(-x)cos2x then which of the following differential equations is...

    Text Solution

    |

  2. Let f(x) denote the fractional part of a real numbers x. Then the valu...

    Text Solution

    |

  3. Let S={(a,b,c)inNxxNxxN:a+b+c=21,aleblec} and T={(a,b,c)inNxxNxxN:a,b,...

    Text Solution

    |

  4. Let y=e^(x^(2)) and y=e^(x^(2))sinx be two given curves. Then the angl...

    Text Solution

    |

  5. A person goes to office by car or scooter or bus or train, probability...

    Text Solution

    |

  6. The value of int((x-2)dx)/({(x-2)^(2)(x+3)^(7)}^(1//3))is

    Text Solution

    |

  7. In a triangle ABC, angleC=90^(@) , r and R are the in-radius and circu...

    Text Solution

    |

  8. Let alpha,beta be two distinct roots of acostheta+bsintheta=c, where a...

    Text Solution

    |

  9. For a matrix A((1,0,0),(2,1,0),(3,2,1)) if U(1),U(2) and U(3) are 3xx1...

    Text Solution

    |

  10. Let f:RtoR be differentiable at x=0. if f(0)=0 and f'(0)=2 , then the ...

    Text Solution

    |

  11. If x and y are digits such that 17!""=3556xy428096000, then x+y equals

    Text Solution

    |

  12. Let f:NtoR be such that f(1)=1 and f(1)+2f(2)+3f(3)+.........+nf(n)=n(...

    Text Solution

    |

  13. If 5 distinct balls placed at random into 5 cells, then the probabilit...

    Text Solution

    |

  14. A survey of people in a given region showed that 20% were smokers. The...

    Text Solution

    |

  15. If cos x and sin x are solutions of the differential equation a(0)(d^(...

    Text Solution

    |

  16. Which of the following statements is /are correct for 0ltthetalt(pi)/(...

    Text Solution

    |

  17. Which of the following is /are always false?

    Text Solution

    |

  18. If the straight (a-1)x-by+4=0 is normal to the hyperbola xy=1 then whi...

    Text Solution

    |

  19. Let f be any-continuously differentiable function on [a,b] and twice d...

    Text Solution

    |

  20. A relation rho on the set of real number R is defined as follows : xrh...

    Text Solution

    |