Logical combinatorics.
Probability
Level
2
For a natural number n, let T(n) denote the number of ways we can place n objects of weights 1, 2, ..., n on a balance such that the sum of weights in each pan is the same. Which of the following is true?
T(100)<T(99)
T(100)=T(99)
T(100)>T(99)
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