0606 P22 - Mar 2018 - Q3 - 5 marks
8398
A group of five people consists of two women, Alice and Betty, and three men, Carl, David and Ed.
(i) Three of these five people are chosen at random to be a chairperson, a treasurer and a secretary. Find the number of ways in which this can be done if the chairperson and treasurer are both men.
These five people sit in a row of five chairs. Find the number of different possible seating arrangements if
(ii) David must sit in the middle,
(iii) Alice and Carl must sit together.
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