Home
Class 12
MATHS
Let 1 le m lt n le p. The number of subs...

Let `1 le m lt n le p`. The number of subsets o the set `A={1,2,3, . . .P}` having m, n as the least and the greatest elements respectively, is

A

`2^(n-m-1)-1`

B

`2^(n-m-1)`

C

`2^(n-m)`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 2

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos
  • MOCK TEST 4

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively.

Let A and B be two sets containing four and two elements respectively.Then the number of subsets of the set A xx B, each having at least three elements is : (1)219(2)256 (3) 275 (4) 510

A set contsins (2n+1) elements. The number of subset of the set which contain at most n elements is

A set contains 2n+1 elements.The number of subsets of this set containing more than n elements :

Solve for X, if IX S 1. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the value of m and n. respectively. can be the (f A and B be two sets containing 3 and 6 elements What

KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
  1. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |

  2. Let 1 le m lt n le p. The number of subsets o the set A={1,2,3, . . .P...

    Text Solution

    |

  3. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  4. Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. T...

    Text Solution

    |

  5. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

    Text Solution

    |

  6. If f: R to R, g , R to R be two funcitons, and h(x) = 2 "min" {f(x) - ...

    Text Solution

    |

  7. The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 b. 2 c. 2s...

    Text Solution

    |

  8. A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...

    Text Solution

    |

  9. If n is a natural number,then

    Text Solution

    |

  10. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

    Text Solution

    |

  11. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

    Text Solution

    |

  12. For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......

    Text Solution

    |

  13. If a, b and c are distinct positive numbers, then the expression (a + ...

    Text Solution

    |

  14. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

    Text Solution

    |

  15. For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...

    Text Solution

    |

  16. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

    Text Solution

    |

  17. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

    Text Solution

    |

  18. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

    Text Solution

    |

  19. A person goes to office either by car, scooter, bus or train probabili...

    Text Solution

    |

  20. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

    Text Solution

    |