Home
Class 12
MATHS
Five distinct letters are to be transmit...

Five distinct letters are to be transmitted through a communication channel. A total number of 15 blanks is to be inserted between the two letters with at least three between every two. The number of ways in which this can be done is :

A

1200

B

1800

C

2400

D

3000

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|6 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

Similar Questions

Explore conceptually related problems

A five digit number divisible by 3 is to be formed using the numbers 0,1,2,3,4 and 5 without repetitions . The total number of ways in which this can be done is

There are 4 letters and 4 directed envelopes . The number of ways in which every letter is put into a wrong envelope is :

Six X ' s have to be placed in the squares of the figure given below such that each row contains at least one X . Th number of ways in which this can be done is :

A five digit number divisible by 3 is to be formed using the numbers 0,1,2,3,4 and 5 without repetitions . The total number of ways this can be done is :

There are two urns. UrnA has. 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other . The number of way in which this can be done is :

The number of ways in which 5 boys and 3 girls can he seated in a row so that each girl is between two boys is

12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls. The number of ways this can be done is lamdaxx12! . The value of lamda is

Ten different letters of an alphabet are given . Words with five letters are formed from these given letters. Then the number of wards which have at least one letter repeated is :

The different letters of alphabet are given words with five letters are for med from these give letters . The number of word which have at least one latter repeated is :

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Multiple Choice Questions - LEVEL - II
  1. The greatest common divisor of : ""^(31)C(16),^(31)C(17),..........,...

    Text Solution

    |

  2. Mr. P has m children from his first wife and Mrs. Q has m + 1 children...

    Text Solution

    |

  3. Five distinct letters are to be transmitted through a communication ch...

    Text Solution

    |

  4. All the letters of the word ' EAMCET '' are arranged in all possible w...

    Text Solution

    |

  5. The different letters of alphabet are given words with five letters ar...

    Text Solution

    |

  6. The number of ways in which four particular persons A,B,C,D and six mo...

    Text Solution

    |

  7. The total number of arrangements of the letters in the expansion a^3b^...

    Text Solution

    |

  8. There are 2m horizontal lines equispaced at unit distance and 2n verti...

    Text Solution

    |

  9. At an election , a voter may vote for any number of candidates , not...

    Text Solution

    |

  10. The letters of the word ' COCHIN ' are permuted and all permutations a...

    Text Solution

    |

  11. How many different words can be formed by jumbling the letters of word...

    Text Solution

    |

  12. .The number of ordered triplets of positive integers which are solutio...

    Text Solution

    |

  13. The number of ways in which 8 different flowers can be strung to form ...

    Text Solution

    |

  14. The sum of al the numbers that can be formed with the digits 2,3,4,5 ,...

    Text Solution

    |

  15. The number of words that can be made by writing down the letters of th...

    Text Solution

    |

  16. If the letters of the word KRISNA are arranged in all possible ways an...

    Text Solution

    |

  17. The number of ways in which four letters of the word '' MATHEMATICS ''...

    Text Solution

    |

  18. Number of positive integral solutions of : x1x2x3=30 is

    Text Solution

    |

  19. If x,y,z are integers and x ge 0 , y ge 1 , z ge 2 , x+y+z = 15 , then...

    Text Solution

    |

  20. Sum of non - negative integral solutions of : x1+x2+.......+xnle x (...

    Text Solution

    |