Home
Class 12
MATHS
Let S={1,2,...,20} A subset B of S is sa...

Let `S={1,2,...,20}` A subset `B` of S is said to be `"nice"`, if the sum of the elements of `B` is 203. Then the probability that a randomly chosen subset of `S` is `"nice"` is:

A

`(6)/(2^(20))`

B

`(5)/(2^(20))`

C

`(4)/(2^(20))`

D

`(7)/(2^(20))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

Let S={0,1,5,4,7} , number of subsets of S is 32QQ , then find the value of QQ.

Let S={1,2,3, …, 100} . The number of non-empty subsets A to S such that the product of elements in A is even

Let S = {1,2,3,..., 40} and let A be a subset of S such that notwo elements in A have their sum divisible by 5. What is themaximum number of elements possible in A?

If S={0,1,4,5,7}then the number of subsets of S is

Let A be a set containing elements. A subset P of the set A is chosen at random. The set A is reconstructed by replacing the elements of P, and another subset Q of A is chosen at random. The probability that P cap Q contains exactly m (m lt n) elements, is

Let S be the set of real numbers. Then the relation R={(a, b):1+ab gt 0} on S is -

A is a set containing n different elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P . A subset Q of A is again chosen. The number of ways of choosing P and Q so that PnnQ contains exactly two elements is a. .^n C_3xx2^n b. .^n C_2xx3^(n-2) c. 3^(n-1) d. none of these

Let S = {1,2,3,.............. n} and A={(a ,b)"|"1lt=a ,blt=n}=SxxS . A subset B of A is such that (x ,x) in B for every x in Sdot Then find the number of subsets Bdot

Let S_n denote the sum of first n terms of an A.P. If S_(2n)=3S_n , then find the ratio S_(3n)//S_ndot

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  2. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  3. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  4. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |

  5. In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...

    Text Solution

    |

  6. If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...

    Text Solution

    |

  7. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to

    Text Solution

    |

  8. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

    Text Solution

    |

  9. If q is false and (p^^q) harr r is also true then which of the followi...

    Text Solution

    |

  10. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  11. (~pvv~q) is logically equivalent to

    Text Solution

    |

  12. Average height & variance of 5 students in a class is 150cm and 18cm^2...

    Text Solution

    |

  13. A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...

    Text Solution

    |

  14. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |

  15. The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...

    Text Solution

    |

  16. The outcome of each of 30 items was observed , 10 items gave an outcom...

    Text Solution

    |

  17. Contrapositive of the statement ''If two numbers are not equal, then t...

    Text Solution

    |

  18. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  19. If the sum of the deviations of 50 observations from 30 is 50, then th...

    Text Solution

    |

  20. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |