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IB Maths AA HL. Nov 2019 P2 Q8 (a number of arrangements).
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Eight boys and two girls sit on a bench. Determine the number of possible arrangements, given that
(a) the girls do not sit together;
(b) the girls do not sit on either end;
(c) the girls do not sit on either end and do not sit together.
(a) the girls do not sit together;
(b) the girls do not sit on either end;
(c) the girls do not sit on either end and do not sit together.