Home
Class 12
MATHS
There are three books of physics, four o...

There are three books of physics, four of chemistry and five of mathematics. How many different collections can be made such that each collection consists of
(i) one book of each subject
(ii) atleast one book of each subject.
(iii) atleast one book of mathematics.

Text Solution

AI Generated Solution

To solve the given problem, we will break it down into three parts as specified in the question. ### Given: - Physics books = 3 - Chemistry books = 4 - Mathematics books = 5 ### (i) Number of collections with one book of each subject ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Single Matching Type Questions|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|11 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

Similar Questions

Explore conceptually related problems

There are 3 books of mathematics, 4 of science, and 5 of literature. How many different collections can be made such that each collection consists of one book of each subject.

There are 3 books of mathematics, 4 of science, and 5 of literature. How many different collections can be made such that each collection consists of one book of each subject, at least one book of each subject, at least one book of literature.

There are 3 books of Mathematics, 4 of Physics and 5 of English. How many different collections can be made such that each consists at least one book of each subject ?

Out of 3 books on Economics , 4 books on Political Sciences and 5 books on Geography ,how many collections can be made, If each collection consists of at least one book on each subject?

Out of 3 books on Economics , 4 books on Political Sciences and 5 books on Geography ,how many collections can be made, If each collection consists of exactly one book on each subject,

In a shelf there are 6 physics, 4 chemistry and 3 mathematics books. How many combinations are there if (i) books of same subject are different ? (ii) books of same subject are identical?

How many different selection of 4 books can be made from 10 different books, if (i) Two particular books are always selected. (ii) Two particular books are never selected.

How many selection of 4 books can be made from 8 different books?

There are 4 students for physics, 6 students for chemistry and 7 students of mathematics gold medal. In how many ways one of these gold medals be awarded?

How many different selections of 6 books can be made from 11 different books, if (i) two particular books are always selected. (ii) two particular books are never selected?

ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. There are three books of physics, four of chemistry and five of mathem...

    Text Solution

    |

  2. There is a rectangular sheet of dimension (2m-1)xx(2n-1), (where m > 0...

    Text Solution

    |

  3. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  4. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  5. At an election a voter may vote for nany number of candidates , not gr...

    Text Solution

    |

  6. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  7. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

    Text Solution

    |

  8. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  9. How many different words can be formed by jumbling the letters in the ...

    Text Solution

    |

  10. In a shop, there are five types of ice-creams available. A child buys ...

    Text Solution

    |

  11. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  12. From 6 different novels and 3 different dictionaries, 4 novels and ...

    Text Solution

    |

  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 ...

    Text Solution

    |

  14. Statement-1: The number of ways of distributing 10 identical balls in ...

    Text Solution

    |

  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

    Text Solution

    |

  16. The total number of ways in which 5 balls of differert colours can be ...

    Text Solution

    |

  17. Let n denote the number of all n-digit positive integers formed by the...

    Text Solution

    |

  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  19. Assuming the balls to be identical except for difference in colours, t...

    Text Solution

    |

  20. Let Tn be the number of all possible triangles formed by joining ve...

    Text Solution

    |

  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |