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The number of arrangements that can be made out of the letters in the expression $A^4 B^3 C^5$ when written in full length is

Option: 1
$\frac{9 !}{3 ! 2 ! 4 !}$

Option: 2
$\frac{7 !}{2 ! 3 ! 2 !}$

Option: 3
$\frac{5 !}{4 ! 3 ! 2 !}$

Option: 4
$\frac{12 !}{4 ! 3 ! 5 !}$

Answers (1)

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Required number of arrangements $=\frac{12 !}{4 ! 3 ! 5 !}$

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