Home
Class 14
MATHS
A number of 4 different digits is formed...

A number of 4 different digits is formed by using the digits 1, 2, 3, 4, 5, 6, 7 in all possible ways without repetition.
How many of them are exactly divisible by 25?

A

20

B

35

C

40

D

50

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    DISHA PUBLICATION|Exercise PRACTICE EXERCISES ( STANDARD LEVEL)|82 Videos
  • PERCENTAGES

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (TEST YOURSELF)|15 Videos
  • PROBABILITY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

A number of 4 different digits is formed by using the digits 1, 2, 3, 4, 5, 6, 7 in all possible ways without repetition. How many of them are exactly divisible by 4?

A number of 4 different digits is formed by using the digits 1, 2, 3, 4, 5, 6, 7 in all possible ways without repetition. How many of them are greater than 3400?

Statement-1: A number of four different digits is formed with the help of the digits 1,2,3,4,5,6,7 in all possible ways. The number of ways which are exactly divisible by is 200. Statement-2: A number divisible by 4, if units place digit is also divisible by 4.

A number of four different digits is formed with the help of the digits 1,2,3,4,5,6,7 in all possible ways. (i) How many such numbers can be formed? (ii) How many of these are even?

A 5 digit number is formed by using the digits 0, 1, 2, 3, 4 and 5 without repetition. The probability that the number is divisible by 6 is

Four digit numbers are formed by using the digits 1, 2, 3, 6 without repetition. The probability that a selected number is divisible by 3 is

DISHA PUBLICATION-PERMUTATIONS AND COMBINATIONS-PRACTICE EXERCISES ( EXPERT LEVEL )
  1. The sum of 5 digit numbers in which only odd digits occur without any ...

    Text Solution

    |

  2. A number of 4 different digits is formed by using the digits 1, 2, 3, ...

    Text Solution

    |

  3. A number of 4 different digits is formed by using the digits 1, 2, 3, ...

    Text Solution

    |

  4. A number of 4 different digits is formed by using the digits 1, 2, 3, ...

    Text Solution

    |

  5. A person has 12 friends out of which 7 are relatives. In how many ways...

    Text Solution

    |

  6. Messages are conveyed by arranging 4 white , 1 blue and 3 red flags on...

    Text Solution

    |

  7. If the letters of the word ‘PARKAR’ are written down in all possible m...

    Text Solution

    |

  8. The number of positive integers satisfying the inequality ""^(n+1)C(...

    Text Solution

    |

  9. The number of triangles whose vertices are at the vertices of a octago...

    Text Solution

    |

  10. The number of 5 digit numbers of the form xyzyz in which x < y is

    Text Solution

    |

  11. There are n points in a plane, No three being collinear except m of th...

    Text Solution

    |

  12. The number of arrangements of the letters of the word BANANA is which ...

    Text Solution

    |

  13. Number of integers greater than 7000 and divisible by 5 that can be fo...

    Text Solution

    |

  14. There are 10 points in a plane out of which 5 are collinear. The numbe...

    Text Solution

    |

  15. The streets of a city are arranged like the lines of a chess board . T...

    Text Solution

    |

  16. In a conference 10 speakers are present . If S1 wants to speak before ...

    Text Solution

    |

  17. Six persons A, B, C, D, E and F are to be seated at a circular table ....

    Text Solution

    |

  18. To fill up 12 vacancies, there are 25 candidates of which 5 are from S...

    Text Solution

    |

  19. The total number of integral solutions for (x, y, z) such that xyz = 2...

    Text Solution

    |

  20. In a plane there are 37 straight lines, of which 13 pass through the p...

    Text Solution

    |