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

  • Option 1)

    2772000

  • Option 2)

    1386000

  • Option 3)

    4158000

  • Option 4)

    None of these

 

Answers (1)

As learnt in concept

Conditions for Circular Permutation -

The number of circular permutations of n distinct things = (n - 1)!

-

 

 AAAABBBCCDEF

Ways= Total - Two C's are together

=\frac{12!}{4!3!2!}-\frac{11!}{4!3!}

=1386000


Option 1)

2772000

This option is incorrect.

Option 2)

1386000

This option is correct.

Option 3)

4158000

This option is incorrect.

Option 4)

None of these

This option is incorrect.

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