Home
Class 12
MATHS
i. How many 4 digit number can be formed...

i. How many 4 digit number can be formed using the digits 3, 5, 8, 9 if repetition is not allowed?
ii. How many of these numbers end in 3?
iii. How many of the above numbers mentioned in (i) ends in 3 or 5?

Text Solution

Verified by Experts

The correct Answer is:
i. `""^(4)P_(4)=4! =24`
ii. `""^(3)P_(3)xx1=3! =6`
iii. 12
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|65 Videos
  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos
  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

How many 4-digit numbers can be formed by using the digits 1 to 9 if repetition of digits is not allowed?

How many numbers can be formed from the digits 1, 2, 3, 4 when repetition is not allowed?

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?

How many two - digit numbers can be formed using 1,2,3,4,5 without repetition of digits ?

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. i. How many 4 digit number can be formed using the digits 3, 5, 8, 9 i...

    Text Solution

    |

  2. The number of ways in which a 7 people can sit around a round table is

    Text Solution

    |

  3. There are (n + 1) white and (n + 1) black balls, each set numbered 1 t...

    Text Solution

    |

  4. If ""^(n)P(r)=720" "^(n)C(r), then r is equal to

    Text Solution

    |

  5. Everybody in a room shakes hands with everybody else. The total n...

    Text Solution

    |

  6. The number of four-digit even numbers that can be formed using 0, 1, 2...

    Text Solution

    |

  7. The number of circular permutations of n different objects is

    Text Solution

    |

  8. The number of ways in which 5 boys and 3 girls be seated in a row so t...

    Text Solution

    |

  9. If n and r are two positive integers such that nger,"then "^(n)C(r-1)+...

    Text Solution

    |

  10. If ""^(4)C(r)=""^(4)C(r+1), then the value of r is

    Text Solution

    |

  11. The number of straight lines that can be formed by joining 20 points o...

    Text Solution

    |

  12. The number of ways in which a committee of 6 members can be formed fro...

    Text Solution

    |

  13. Evaluate the following: ""^(20)C(4)=

    Text Solution

    |

  14. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  15. If ""^(n)C(3)=220, then n = ?

    Text Solution

    |

  16. A polygon has 54 diagonals. Number of sides of this polygon is

    Text Solution

    |

  17. In how many ways can 8 students be arranged in a row?

    Text Solution

    |

  18. The number of different permutations of the word word 'BANANA' is

    Text Solution

    |

  19. Rank of the word " MOTHER " is

    Text Solution

    |

  20. Six X's have to be placed in the squares of the figure below, such tha...

    Text Solution

    |

  21. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |