Question: 2.3. (a) Suppose that the three digits 1, 2, and 3 are written down in random order. What is the probability that at least one

2.3.

(a) Suppose that the three digits 1, 2, and 3 are written down in random order. What is the probability that at least one digit will occupy its proper place?

(b) Same as

(a) with the digits 1, 2, 3, and 4.

(c) Same as

(a) with the digits 1, 2, 3,..... [Hint: Use (1.7).]

(d) Discuss the answer to

(c) if n is large.

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