Home
Class 12
MATHS
Find the number of ways of arranging the...

Find the number of ways of arranging the letters of the word `a^(4)b^(3)c^(5)` in its expanded form.

Text Solution

Verified by Experts

The expanded drom of `a^(4)b^(3)c^(5)` is `"aaaa " "bbb " "c c c c c "`
There are 4+3+5=12 letters
They can be arranged in `((12)!)/(4! 3! 5!)` ways
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|8 Videos

  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SHORT ANSWER QUESTIONS|6 Videos

  • PARTIAL FRACTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 7|32 Videos

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos

Similar Questions

Explore conceptually related problems

Find the number of ways of arranging the letters of the word SINGING

Find the number of ways of arranging the letters of the word. SINGING

Find the number of ways of arranging all the letters of the word x^(3)y^(5)z^(7) in expanded from.

Find the number of ways of arranging the letters of the word. MATHEMATICS

Find the number of ways of arranging the letters of the word. PERMUTATION

Find the number of ways of arranging the letters of the word. COMBINATION

Find the number of ways of arranging the letters of the word. INTERMEDIATE

Find the number of ways of arranging the letters of the word. INDEPENDENCE

Find the number of ways of arranging the letter of the word "MATHEMATICS".

Find the number of ways of arranging the letters of the word "INTERMEDIATE".

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
  1. Find the number of ways of arranging the letters of the word a^(4)b^(3...

    Text Solution

    |

  2. If ""^(n)P(7)=42. ""^(n)P(5). find n.

    Text Solution

    |

  3. If ""^((n+1))P(5): ""^(n)P(6)=2:7, find

    Text Solution

    |

  4. If ""^(12)P(5)+5. ""^(12)P(4)=""^(13)P(r), find r.

    Text Solution

    |

  5. If ""^(18)P((r-1)):""^(17)P((r-1))=9:7, find r.

    Text Solution

    |

  6. A man has 4 sons and there are 5 schools within his reach. In how many...

    Text Solution

    |

  7. If there are 25 railway stations on a railway line, how many types of ...

    Text Solution

    |

  8. In a class there are 30 students. On the New year day, every student p...

    Text Solution

    |

  9. Find the number of ways of arranging the letters of the word TRIANGLE ...

    Text Solution

    |

  10. Find the number of numbers that are greater than 4000 which can be for...

    Text Solution

    |

  11. Find the number of ways of arranging the letters of the word MONDAY so...

    Text Solution

    |

  12. Find the number of ways of arranging 5 different mathematics books, 4 ...

    Text Solution

    |

  13. Find the number of 5 letter words that can be formed using the letters...

    Text Solution

    |

  14. Find the number of ways of seating 10 students A(1), A(2)…..A(10) in a...

    Text Solution

    |

  15. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  16. Find the number of ways in which 5 red balls, 4 black balls of differe...

    Text Solution

    |

  17. Find the number of 4 - digit numbers that can be formed using the digi...

    Text Solution

    |

  18. If the letters of the word BRING are permuted in all possible ways and...

    Text Solution

    |

  19. Find the sum of all 4 digited numbers that can be formed using the dig...

    Text Solution

    |

  20. There are 9 objects and 9 boxes. Out of 9 objects, 5 cannot fit in thr...

    Text Solution

    |

  21. Find the number of 4- digited numbers that can be formed using the dig...

    Text Solution

    |