Home
Class 11
MATHS
How many 4-letter code can be formed usi...

How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

Text Solution

Verified by Experts

The correct Answer is:
Hence, Using the first 10 letters of the English alphabet, 5040 letter - code can can be forned.
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 7.2|6 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 7.3|11 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (QUESTION OF MODULE )|11 Videos

Similar Questions

Explore conceptually related problems

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

How many words can be formed with the letters of the word 'ARIHANT' by rearranging them?

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

How many words can be made form the letters of the word DAUGHTER assuming that no letter is repeated ? How many words can be made from this word in which so that consonants and vowels occupy their own place ?

How many different words can be formed by using all the letters of the word ZERO without repetition ? What is the rank of the word ZERO in a dictionary ?

How many words can be formed from the letters of the word 'COURTESY' whose first letter is C and the last letter is Y?

Number of words of 4 letters that can be formed with the letters of the word IIT JEE, is

In how many different words can be formed by using all the letters of the word ARROW if the two R's are not together ?

How many words can be formed with the letters of the word 'DELHI' if E and H never occur together?

How many 3-digit even numbers that can be formed using the digit 2,4,6,8 ?

KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. How many 4-letter code can be formed using the first 10 letters of the...

    Text Solution

    |

  2. How many 4-digit number can be formed with the digit 1, 2, 3, 4, 6 an...

    Text Solution

    |

  3. How many 3- digit even numbers are formed using the digits 0, 1, 2, ……...

    Text Solution

    |

  4. Find the number of 4-letter words with or without meaning which can be...

    Text Solution

    |

  5. How many four digit odd number are there ? (Repetition of digit is not...

    Text Solution

    |

  6. How many number between 99 and 1000 are there if (i) Last digit is 0 ?...

    Text Solution

    |

  7. Evaluate : (i) 2 xx 6! - 3 xx 5! (ii) (8!)/(4!) (iii) (20!)/(18!(2...

    Text Solution

    |

  8. IF (n + 2)! = 2550 n! find n.

    Text Solution

    |

  9. Prove that (n!) (n + 2) = [n! + (n + 1)!]

    Text Solution

    |

  10. if 1/(7!)+1/(9!) =x/(10!) then find x.

    Text Solution

    |

  11. Evaluate : ""((12!)-(10!)) / (9!)

    Text Solution

    |

  12. How many words can be formed out of the letters of the word VOWEL. So...

    Text Solution

    |

  13. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  14. How many words can be made form the letters of the word DAUGHTER assum...

    Text Solution

    |

  15. How many three-digit numbers can be made using the digits 0, 1, 2, …, ...

    Text Solution

    |

  16. From a committee of 10 persons, in how many ways can we choose a chair...

    Text Solution

    |

  17. How many 3-digit even numbers that can be formed using the digit 2,4,6...

    Text Solution

    |

  18. Find r : ""^(5) P(r) =42 ""^(6)P(r-1)

    Text Solution

    |

  19. Prove that , ""^nPr = ""^((n-1))Pr + r. ""^(n-1)P((r-1))

    Text Solution

    |

  20. If ""nPr=840 and ""^nCr=35, then r is equal to....

    Text Solution

    |

  21. If ""^((n+2)) C8 :"" ^((n-2)) P4= 57 : 16 then find n.

    Text Solution

    |