Home
Class 11
MATHS
A closet has 5 pairs of shoes. The numbe...

A closet has 5 pairs of shoes. The number of ways in which 4 shoes can be chosen from it so that there will be no complete pair is

A

80

B

160

C

200

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

The number of ways in which 5 letters can be posted in 10 letter boxes is

The number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is beween two boys, is-

Find the number of ways in which 5 boys and 5 girls be seated in a row so that all the girls are never together

Find the number of ways in which 5 boys and 5 girls be seated in a row so that no two girls sit together

The number of lone pair in XeOF_4 is

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

The number of ways in which 6 different balls can be put in two boxes of different sizes so that no box remain empty is :

There are 5 different colour balls and 5 boxes of colours same as those of the balls. The number of ways in which one can place the balls into the boxes, one each in a box, so that no ball goes to a box of its own colour is

There are 12 pairs of shoes in a box. Then the possible number of ways of picking 7 shoes so that there are exactly two pairs of shoes are

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. We are required to from different words with the help of the letter of...

    Text Solution

    |

  2. The number of polynomials of the form x^3 + ax^2 + bx + c which are di...

    Text Solution

    |

  3. A closet has 5 pairs of shoes. The number of ways in which 4 shoes can...

    Text Solution

    |

  4. The number of positive integers satisfying the inequality .^(n+1)C(n-2...

    Text Solution

    |

  5. A father with 8 children takes 3 at a time to the zoological gardens, ...

    Text Solution

    |

  6. For 2 le r le n,(n/r) + 2(n/(r-1)) + (n/(r - 2)) is equal to

    Text Solution

    |

  7. A letter lock consists of three rings marked with 15 different letters...

    Text Solution

    |

  8. The number of subsets of a set containing n distinct elements is

    Text Solution

    |

  9. If alpha = x1x2x3 and beta = y1y2y3 be two three digits numbers , the ...

    Text Solution

    |

  10. The number of diagonals an n - sided convex polygon is

    Text Solution

    |

  11. 24! is divisible by

    Text Solution

    |

  12. If N is the number of positive integral solutions of x1 cdot x2 cdot x...

    Text Solution

    |

  13. The total number of ways in which a beggar can be given at least one r...

    Text Solution

    |

  14. The number of ways in which three numbers in A.P. can be selected from...

    Text Solution

    |

  15. If n lt p lt 2n and p is prime and N = .^(2n)Cn, then

    Text Solution

    |

  16. Let vec a = vec i + vec j + vec k and let vec r be a variable vector s...

    Text Solution

    |

  17. 2^m3^n5^p is a divisor of 2^10 cdot 3^8 cdot 5^7 if m, n and p are all...

    Text Solution

    |

  18. 2^m3^n5^p is a divisor of 2^10 cdot 3^8 cdot 5^7 if m, n and p are all...

    Text Solution

    |

  19. 2^m3^n5^p is a divisor of 2^10 cdot 3^8 cdot 5^7 if m, n and p are all...

    Text Solution

    |

  20. Different words are being formed by arranging the letters of the words...

    Text Solution

    |