Exam-Style Problem

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Nov 2021 p51 q5
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Raman and Sanjay are members of a quiz team which has 9 members in total. Two photographs of the quiz team are to be taken.

For the second photograph, the members will stand in two rows, with 5 in the back row and 4 in the front row.

(c) In how many different ways can the 9 members be divided into a group of 5 and a group of 4?

(d) For a random division into a group of 5 and a group of 4, find the probability that Raman and Sanjay are in the same group as each other.

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