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Question Number 141435 by physicstutes last updated on 18/May/21
$$\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{arraangment}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{letters} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{word}\:\mathrm{SYLLABUSES}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{each}\:\mathrm{word}\:\mathrm{contains}\:\mathrm{the}\:\mathrm{word}\:\mathrm{BUS}. \\ $$
Answered by mr W last updated on 19/May/21
$$\mathrm{SYLLABUSES} \\ $$$$\frac{\mathrm{8}!}{\mathrm{2}!\mathrm{2}!}=\mathrm{10080} \\ $$