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With reference to Example 3.6, suppose that there are m different types of coupons and Jimmy buys r packs of cereals (with r < m).

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With reference to Example 3.6, suppose that there are m different types of coupons and Jimmy buys r packs of cereals (with r < m).

(i) What is the probability that the coupons contained in these r packs are all of a different type?

(ii) Assuming r > 2, find the probability that the r coupons belong to exactly 2 different types.

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