Home
Class 12
MATHS
In how many ways can the letters of the ...

In how many ways can the letters of the word ENGLISH be arranged if
i. all the letters are used at a time
ii. Words start with E and end in H

Text Solution

Verified by Experts

The correct Answer is:
i. `""^(7)P_(7)=7!`
ii. `""^(5)P_(5)=5!`
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

In how many ways, can the letters of the word "HEXAGON" be permuted?

In how many ways can the letters of the word SUCCESS be arranged so that all S's are together ?

In how many ways can the letters of the word PENCIL be arranged so that N is always next of E.

In how many ways can the letters of the word ASSASSINATION be arranged so that all the S's are together?

In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?

In how many ways can the letters of the word PERMUTATIONS be arranged if the (i) words start with P and end with S, (ii) vowels are all together, (iii) there are always 4 letters between P and S?

In how many ways the letters of the word COMBINATORICS can be arranged if all vowel and all consonants are alphabetically ordered.

How many words can be formed with the letters o the word MATHEMATICS by rearranging them.

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. In how many ways can the letters of the word ENGLISH be arranged if ...

    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

    |