The number of ways of arranging the letters AAAAA, BBB, CCC, D, EE & F in a row if the letter C a...

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:
(A) ^13C_3·12 !/5 ! 3 ! 2 !
(B) 13 !/5 ! 3 ! 3 ! 2 !
(C) 14 !/3 ! 3 ! 2 !
(D) 11. 13 !/6 !

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