Question

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

• A. ${ }^{13} C _3 \frac{12 !}{5 ! 3 ! 2 !}$
• B. $\frac{13 !}{5 ! 33 ! 2 !}$
• C. $\frac{14 !}{3 ! 3 ! 2 !}$
• D. $\frac{15 !}{5 !(3 !)^2 2 !}-\frac{13 !}{5 ! 3 ! 2 !}-\frac{12 !}{5 ! 3 !}{ }^{13} C _2$

Answer 1

Answer: (A), (D)

Correct answer is (a) ${ }^{13} C _3 \frac{12 !}{5 ! 3 ! 2 !}$Correct answer is (d) $\frac{15 !}{5 !(3 !)^2 2 !}-\frac{13 !}{5 ! 3 ! 2 !}-\frac{12 !}{5 ! 3 !}{ }^{13} C _2$