A children's wildlife magazine is published every Monday. For the next 12 weeks it will include a model animal as a free gift. There are five different models: tiger, leopard, rhinoceros, elephant and buffalo, each with the same probability of being included in the magazine. Sahim buys one copy of the magazine every Monday. Find the probability that after 5 weeks Sahim has exactly one of each animal.

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s23_qp_51 Year:2023 Question No:7(c)

Answer:



Knowledge points:

5.2.1 understand the terms permutation and combination, and solve simple problems involving selections
5.3.1 evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events, or by calculation using permutations or combinations (e.g. the total score when two fair dice are thrown.) (e.g. drawing balls at random from a bag containing balls of different colours.)

Solution:

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