When performing a trick a magician says the word ABRACADABRA. The $11$ letters of this word are arra

Question

When performing a trick a magician says the word ABRACADABRA. The $11$ letters of this word are arranged in a row Find the number of different arrangements that can be made. [2] Find the number of different arrangements in which the $2$ B’s are next to each other, the $2$ R’s are next to each other, exactly $4$ of the A’s are next to each other, and the C is next to the D. [3] Given that the $11$ letters are arranged randomly, find the probability that all $5$ A’s are together. [3]

Accepted Answer

(a) $83160$ (b) $144$ (c) $\frac{1}{66}$

N2021 P2 Q7

N2021 P2 Q7

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