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Of the following, which is the best approximation to the probability that a permutation of size N has exactly 2 cycles?

Question

Of the following, which is the best approximation to the probability that a permutation of size N has exactly 2 cycles?
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Solution 1

The probability that a permutation of size N has exactly 2 cycles is approximately 1/N.

Here's a step-by-step explanation:

  1. A permutation of size N can be represented as a product of cycles.

  2. The number of permutations of size N is N factorial (N!).

  3. The number of permutations with exact Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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