Question 116
Klara has 6 identical dice. On the faces of each die she wrote the letters $B, A, B, I, C$ and $A$, one letter on each face. Then she threw all 6 dice at once. What is the probability that from the letters on the top faces of the dice after the throw she can form the word $B A B I C A$?
(A) $\frac{6!}{(2!)^{2}}\left(\frac{1}{3}\right)^{4}\left(\frac{1}{6}\right)^{2}$
(B) $\frac{6!}{(2!)^{2}}\left(\frac{1}{6}\right)^{6}$
(C) $\left(\frac{1}{3}\right)^{4}\left(\frac{1}{6}\right)^{2}$
(D) $\left(\frac{1}{6}\right)^{6}$
(E) 1
(A) $\frac{6!}{(2!)^{2}}\left(\frac{1}{3}\right)^{4}\left(\frac{1}{6}\right)^{2}$
(B) $\frac{6!}{(2!)^{2}}\left(\frac{1}{6}\right)^{6}$
(C) $\left(\frac{1}{3}\right)^{4}\left(\frac{1}{6}\right)^{2}$
(D) $\left(\frac{1}{6}\right)^{6}$
(E) 1