Home
Class 11
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)`

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

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.

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. There are 10 points in a plane of which no three points are collinear ...

    Text Solution

    |

  2. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked...

    Text Solution

    |

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

    Text Solution

    |

  4. In a group of 13 cricket players, 4 are bowlers. Find out in how ma...

    Text Solution

    |

  5. Let there be ngeq3 circles in a plane. The value of n for which the nu...

    Text Solution

    |

  6. The number of different ways in which five "alike dashes" and "eigh...

    Text Solution

    |

  7. Statement 1: the number of ways of writing 1400 as a product of two...

    Text Solution

    |

  8. Rajdhani Express going from Bombay to Delhi stops at five intermedi...

    Text Solution

    |

  9. In a certain test, there are n question. In the test, 2^(n-i) studen...

    Text Solution

    |

  10. If N denotes the number of ways of selecting r objects of out ...

    Text Solution

    |

  11. Number of ways in which 30 identical things are distributed among six ...

    Text Solution

    |

  12. If 10! =2^p .3^q .5^r .7^s, then (A) 2q = p (B) pqrs = 64 (C) number...

    Text Solution

    |

  13. A is a set containing n elements. A subset P1 is chosen and A is recon...

    Text Solution

    |

  14. Let n be a four-digit integer in which all the digits are different....

    Text Solution

    |

  15. If P = 21(21^2-1^2)(21^2-2^2)(21^2-3^2)...............(21^2-10^2),t h ...

    Text Solution

    |

  16. Statement 1: number of ways in which 10 identical toys can be distri...

    Text Solution

    |

  17. Statement 1: The number of positive integral solutions of a b c=30 is...

    Text Solution

    |

  18. Prove by combinatorial argument that .^(n+1)Cr=^n Cr+^n C(r-1)dot

    Text Solution

    |

  19. Prove that (n !)! is divisible by (n !)^((n-1)!)

    Text Solution

    |

  20. Column I, Column II Number of straight lines joining any two of ...

    Text Solution

    |