Home
Class 11
MATHS
A child has three plastic toys bearing t...

A child has three plastic toys bearing the digits 3, 3, 5 respectively. How many 3-digit numbers can be make using them?

Text Solution

Verified by Experts

The correct Answer is:
3

We have to arrange 3 objects in a row, out of which 2 are alike of one kind and the third one of its own kind.
Total number of arrangements `=(3!)/(2!)=3`.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8F|7 Videos
  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8G|6 Videos
  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8D|28 Videos
  • PARABOLA

    RS AGGARWAL|Exercise EXERCISE-22|10 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    RS AGGARWAL|Exercise EXERCISE 4|23 Videos

Similar Questions

Explore conceptually related problems

A child has plastic toys bearing the digits 4, 4 and 5. How many 3-digit numbers can he make using them?

How many 3-digit numbers are divisible by 5 ?

A child has plastic toys marked with numbers 3,3 and 8. How many three digit numbers can be formed using these?

Using the digits 0,1,2,3,4,5,6 how many 4 digit even numbers can be made,no digit being repeated?

How many 3-digit numbers are there with no digit repeated?

How many 3-digit numbers are there with no digit repeated?

How many 3 -digit numbers can be made by the digits either 3 or 4 or 5?

How many 3 -digit numbers can be made by the digits either 3 or 4 or 5?

RS AGGARWAL-PERMUTATIONS-EXERCISE 8E
  1. Find the total number of perpemutations of the letters of each of the...

    Text Solution

    |

  2. In how many ways can the letters of the expressions x^(2)y^(3)z^(4) b...

    Text Solution

    |

  3. There are 3 blue balls, 4 red balls and 5 green balls. In how many way...

    Text Solution

    |

  4. A child has three plastic toys bearing the digits 3, 3, 5 respectively...

    Text Solution

    |

  5. How many different signals can be transmitted by arranging 2 red, 3 ye...

    Text Solution

    |

  6. How many words can be formed by arranging the letters of the word 'AR...

    Text Solution

    |

  7. How many words can be formed by arranging the letters of the word 'IN...

    Text Solution

    |

  8. Find the number of arrangements of the letters of the word 'ALGEBRA' ...

    Text Solution

    |

  9. How many words can be formed from the letters of the word 'SERIES', wh...

    Text Solution

    |

  10. In how many ways can the letters of the word 'PARALLEL' be arranged so...

    Text Solution

    |

  11. How many different words can be formed with the letters of the word 'C...

    Text Solution

    |

  12. In how many ways can the letters of the word ASSASSINATION be arran...

    Text Solution

    |

  13. (i) How many arrangements can be made by using all the letters of the ...

    Text Solution

    |

  14. In how many ways can the letters of the word INTERMEDIATE be arranged ...

    Text Solution

    |

  15. (i) Find the number of different words formed by using all the letter...

    Text Solution

    |

  16. How many five-digit numbers can be formed with the digits 5, 4, 3, 5,...

    Text Solution

    |

  17. How many numbers can be formed with the digits 2, 3, 4, 5, 4, 3, 2 so ...

    Text Solution

    |

  18. How many 7-digit numbers can be formed by using the digits 1, 2, 0, 2...

    Text Solution

    |

  19. How many 6-digit numbers can be formed by using the digits 4, 5, 0, 3,...

    Text Solution

    |

  20. The letters of the word 'INDIA' are arranged as in a dictionary. What ...

    Text Solution

    |