Home
Class 12
MATHS
A person predicts the outcome of 20 cric...

A person predicts the outcome of 20 cricket matches of his home team. Each match can result in either a win, loss, or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct is equal to a. `^20 C_(10)xx2^(10)` b. `^20 C_(10)xx3^(20)` c. `^20 C_(10)xx3^(10)` d. `^20 C_(10)xx2^(20)`

A

`""^(20)C_(10)*2^(10)`

B

`""^(20)C_(10)*3^(20)`

C

`""^(20)C_(10)*3^(10)`

D

`""^(20)C_(10)*2^(20)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

Find the value of .^(20)C_(0) xx .^(13)C_(10) - .^(20)C_(1) xx .^(12)C_(9) + .^(20)C_(2) xx .^(11)C_(8) - "……" + .^(20)C_(10) .

Number of ways of selecting 4 shoes from 10 pairs such that exactly one correct pair is selected is (A) .^(10)C_(1) .^(9)C_(2).2^(2) (B) .^(10)C_(1)xx9xx16 (C) . (( .^(10)C_(1).^(4)P_(2).18xx16)/(4!)) (D) d. 10xx18xx16

A fair die is thrown 20 times. The probability that on the 10th throw, the fourth six appears is a. "^20 C_(10)xx5^6//6^(20) b. 120xx5^7//6^(10) c. 84xx5^6//6^(10) d. none of these

A fair die is thrown 20 times. The probability that on the 10th throw, the fourth six appears is ^20 C_(10)xx5^6//6^(20) b. 120xx5^7//6^(10) c. 84xx5^6//6^(10) d. none of these

The sum of the series .^(20)C_(0)-.^(20)C_(1)+ .^(20)C_(2)-.^(20)C_(3)+...-.+ .^(20)C_(10) is -

The sum of series (20)^C0-^^(20)C1+^^(20)C2-^^(20)C3++^^(20)C 10 is 1/2 ^^(20)C 10 b. 0 c. ^^(20)C 10 d. -^^(20)C 10

The value of sum_(r=0)^(10)(r)^(20)C_r is equal to: a. 20(2^(18)+^(19)C_(10)) b. 10(2^(18)+^(19)C_(10)) c. 20(2^(18)+^(19)C_(11)) d. 10(2^(18)+^(19)C_(11))

Find the product : 20xx(-10)

The sum of the series underset(r = 0)overset(10)Sigma .^(20)C_(r) " is " 2^(19) + (.^(20)C_(10))/(2)

The mean of 20 numbers is 20. if 2 is added to each of the first 10 numbers. Find the mean of the new set of 20 numbers.

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-2
  1. the last two digits in X=sum(k=1)^100 k!

    Text Solution

    |

  2. In the club election, the number of contestants is one more than the n...

    Text Solution

    |

  3. A person predicts the outcome of 20 cricket matches of his home tea...

    Text Solution

    |

  4. The number of different seven-digit numbers that can be written usin...

    Text Solution

    |

  5. The number of ways in which a score of 11 can be made from a through t...

    Text Solution

    |

  6. A mint prepares metallic calendars specifying months, dates and days i...

    Text Solution

    |

  7. if E=1/4. 2/6. 3/8. 4/10.............30/62. 31/64=8^x then the value ...

    Text Solution

    |

  8. For a set of four multiple choice questions with three options (multip...

    Text Solution

    |

  9. Let Tn denote the number of triangles, which can be formed using th...

    Text Solution

    |

  10. A class contains 4 boys and g girls. Every Sunday five students, inclu...

    Text Solution

    |

  11. Let E = [(1)/(3) + (1)/(50)]+[(1)/(3)+(2)/(50)]+[(1)/(3)+(3)/(50)]+……....

    Text Solution

    |

  12. The number of ways in which we can choose 2 distinct integers from 1 t...

    Text Solution

    |

  13. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

    Text Solution

    |

  14. If r,s,t are prime numbers and p,q are the positive integers such that...

    Text Solution

    |

  15. If x,y in (0,30) such that [x/3]+[(3pi)/2]+[y/2]+[(3pi)/4]=11/6x+5/4...

    Text Solution

    |

  16. The number of positive integral solutions of the equation x1 x2 x3 x4 ...

    Text Solution

    |

  17. Consider all 3 element subsets of the set {1, 2, 3, ………. 300} then:

    Text Solution

    |

  18. A person is to walk from A to B. However, he is restricted to walk onl...

    Text Solution

    |

  19. There are 2 identical white balls, 3 identical red balls, and 4 green ...

    Text Solution

    |

  20. There are six letters L(1),L(2),L(3),L(4),L(5),L(6) and their correspo...

    Text Solution

    |