Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Mr and Mrs Keene and their $5$ children attend a football match with their friends Mr and Mrs Uzuma and their $2$ children. Determine the number of different ways the $11$ people can form a line at the entrance in each of the situations below.
(i)[2]

Mr Keene is positioned at one end of the line and Mr Uzuma at the other end.

(ii)[3]

The $5$ Keene children stand as a single group and the two Uzuma children stand as a single group.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $9!$ multiplied by $k$ with $k \ge 1$, for example $9!\times 2$

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