Home
Class 12
MATHS
How many integers between 100 and 1000(b...

How many integers between 100 and 1000(both inclusive )consists of distinct odd digits ?

Text Solution

Verified by Experts

Integers are to be formed with distinct odd digits between 100 and 1000.
The numbers between 100 and 1000 are of 3-digits.
The odd digits are 1,3,5,7,9.
The number of distinct 3-digit odd numbers`=""^5P_3=5*4*3=60`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MBD PUBLICATION|Exercise QUESTION BANK|139 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

A Carnot engine works between 1000 K and 250 K. It is required to increase the efficiency to 85% . By how much should the temperature (1) of the source alone be changed (2) sink alone be changed to get the desired result ?

How many four digits even numbers with distict digits can be formed out of the digits 0,1,2,3,4,5,6?

How many two digit even number of distinct digits can be formed with the digits 1,2,3,4,5?

How many four -digit even numbers with distinct digits can be formed out of digits 0,1,2,3,4,5,6 ?

How many 4 digit numbers each greater than 6000 can be formed with be digits 5, 6, 7 and 8?

How are colloids classified on the basis of the forces of attraction between the two phases in the colloidal systems ? Give the important points of distinction between them.

An expression of the form (a+b+c+d+ .... ) consisting of sum of many distinct symbols is called a multinomial. Show that (a+b+c)^n is the sum of all terms of the form n!/p!q!e!a^pb^qc^r where p, q and r range over all possible triples of non negative integers such that p+q+r = n.

How many watt be radiated by a spherical black body of radius 7 cm at 1000 K ?

MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. How many two digit even number of distinct digits can be formed with t...

    Text Solution

    |

  2. How many four -digit even numbers with distinct digits can be formed o...

    Text Solution

    |

  3. How many integers between 100 and 1000(both inclusive )consists of dis...

    Text Solution

    |

  4. An unbiased die of six faces, market with the integers 1,2,3,4,5,6, on...

    Text Solution

    |

  5. Find the total number of ways in which the letters of the word PRESENT...

    Text Solution

    |

  6. Find the number of all 4-lettered words (not necessarily having meanin...

    Text Solution

    |

  7. In how many ways can 2 boys and 3 girls sit in a row so that no two gi...

    Text Solution

    |

  8. Five red marbles, four white marbles and three blue marbles of the sam...

    Text Solution

    |

  9. How many of the functions Suppose A is a set of n elements and B is a ...

    Text Solution

    |

  10. In how many ways can three men and three women sit at a round table so...

    Text Solution

    |

  11. Compute the ^12C3

    Text Solution

    |

  12. Compute the ^15C12

    Text Solution

    |

  13. Compute the ""^9C4 + ""^9C5

    Text Solution

    |

  14. Compute the""^7C3+""^6C4+""6C3

    Text Solution

    |

  15. Compute the""^8C0+""^8C1+……+""^8C8

    Text Solution

    |

  16. Solve ""^nC4=""^nC11,

    Text Solution

    |

  17. Solve ""^(2n)C3:""^nC3=44:5

    Text Solution

    |

  18. Find n and r if ""^nPr=1680,""^nCr=70.

    Text Solution

    |

  19. How many diagonals can an n-gon (a polygon with n sides ) have ?

    Text Solution

    |

  20. If a set A has n elements and another set B has m elements, what is th...

    Text Solution

    |