Home
Class 12
MATHS
The number of ways of arranging the lett...

The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE and F in a row, if the letters B are separated from one another, is equal to

A

`(13!)/(5!3!3!2!)`

B

`(14!)/(3!3!2!)`

C

`(15!)/((3!)^(2)2!5!)`

D

`.^(13)C_(3)xx(12!)/(5!3!2!)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 80

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 82

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The number of ways of arranging the letters AAAAA,BBB,CCC,D,EE&F in a row if the letter C are separated from one another is:

The total number of ways of arranging the letters AAAA BBB CC D E F in a row such that letters C are separated from one another, is

The number of ways of arranging the letters of the word DISCIPLINE

The number of ways of arranging the letters of the word HARIKRISHNA is

The number of ways of arranging all the letters on a circle such that no two vowels are together.

Consider the word W = COMMISSIONER Find (i) Number of 5 letters word containing two vowels and three consonants. Number of ways in which all the letters of the word W can be arranged if alike letters are together but seperated from the other alike letters (iii) Number of ways in which letters of the word W can be arranged without changing order of alike letters.

Number of ways in which 11 letters A,B,C,D,E,F,X,X,X,Y, Y can be arranged

Find number of ways of selection of one or more letters from AAAABBCCCDEF (0) there is no restriction.(i) the letters A&B are selected atleast once.(ii) only one letter is selected.(iv) a atleast two letters are selected

Number of ways in which the letters of the word W can be arranged if atleast one vowel is separated from rest of the vowels

The number of ways in which the letters of the word 'INSURANCE' be arranged so that the vowels are never separated is

NTA MOCK TESTS-NTA JEE MOCK TEST 81-MATHEMATICS
  1. The number of values of x in [-2pi, 2pi] which satisfy the equation "c...

    Text Solution

    |

  2. If the integral I=int(x sqrtx-3x+3sqrtx-1)/(x-2sqrtx+1)dx=f(x)+C (wher...

    Text Solution

    |

  3. The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE and...

    Text Solution

    |

  4. If a, b, c in R^(+) such that a+b+c=27, then the maximum value of a^(2...

    Text Solution

    |

  5. Find the degrees and radians the angle between the hour hand and the ...

    Text Solution

    |

  6. If f(x)=2sinx-x^(2), then in x in [0, pi]

    Text Solution

    |

  7. 15 coins are tossed. If the probability of getting at least 8 heads is...

    Text Solution

    |

  8. A normal line with positive direction cosines to the plane P makes equ...

    Text Solution

    |

  9. Let A=[a(ij)](3xx3) be a scalar matrix whose elements are the roots of...

    Text Solution

    |

  10. For three non - zero vectors veca, vecb and vecc, if [(veca, vecb , ve...

    Text Solution

    |

  11. Let f:[-1,1] rArr B be a function defined as f(x)=cot^(-1)(cot((2x)/(...

    Text Solution

    |

  12. If p, q are r are three logical statements, then the truth value of th...

    Text Solution

    |

  13. If f(x)={{:((e^([2x]+2x+1)-1)/([2x]+2x+1),:,x ne 0),(1,":", x =0):}, t...

    Text Solution

    |

  14. The set (AuuBuuC)nn(AnnB'nnC')' is equal to

    Text Solution

    |

  15. Let the circumcentre of DeltaABC is S(-1, 0) and the midpoints of the ...

    Text Solution

    |

  16. For a DeltaABC the vertices are A(0, 3), B(0, 12) and C(x, 0). If the ...

    Text Solution

    |

  17. The solution of the differential equation ((dy)/(dx))^(4)-((dy)/(dx))^...

    Text Solution

    |

  18. For the complex number z satisfying the condition |z+(2)/(z)|=2, the m...

    Text Solution

    |

  19. If the area bounded by y le e -|x-e| and y ge 0 is A sq. units, then l...

    Text Solution

    |

  20. If the middle term in the expansion of ((1)/(x)+x sinx)^(10) is equal ...

    Text Solution

    |