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Question: 1. Each domino piece is marked by two numbers. The pieces are symmetrical so that the number-pair is not ordered. How many different pieces can be made using the numbers 1, 2, ... , n?

2. The numbers 1, 2, ... , n are arranged in random order. Find the probability that the digits

(a) 1 and 2,

(b) 1, 2, and 3, appear as neighbors in the order named.

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  • Category:- Statistics and Probability
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