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Question: 2022 Winter Final - 7

Author: Michiel Smid
A string that is obtained by rearranging the letters of the word \[ \mathrm{ARABICA} \] is stupendous if it contains the substring $\mathrm{CAB}$. For example $\mathrm{ARA\underline{CAB}I}$ and $\mathrm{I\underline{CAB}AAR}$ are both stupendous, but $\mathrm{ARABICA}$ is not. How many stupendous strings are there?
(a)
$70$
(b)
$30$
(c)
$60$
(d)
$40$
(e)
$50$