Answer: 30
Step-by-step explanation:
Since, Total number of letter = 6 ( A, B, C, D, E, F)
And, according to the question we have to choose a 2 digit number.
But, there is no repetition of letter is not allowed.
So, the total possible password = P(5,2) = [tex]6_P_2[/tex] = [tex]\frac{6!}{(6-2)!}[/tex]= [tex]\frac{6!}{4!}=\frac{6\times 5\times 4!}{4!} = 30[/tex]
Thus, Required possible password = 30.
