Leetcode Problem 1467. Probability of a Two Boxes Having The Same Number of Distinct Balls

1467. Probability of a Two Boxes Having The Same Number of Distinct Balls

Leetcode Solutions

Backtracking with Multinomial Coefficients

  1. Define a helper function to calculate factorial and multinomial coefficients.
  2. Use backtracking to generate all possible distributions of balls into two boxes.
  3. For each distribution, check if the number of balls in each box is equal and if the number of distinct colors in each box is equal.
  4. If both conditions are met, calculate the number of permutations for this distribution using multinomial coefficients.
  5. Sum the number of permutations for all valid distributions.
  6. Calculate the total number of permutations for the original set of balls.
  7. Divide the sum of permutations for valid distributions by the total number of permutations to get the probability.
  8. Return the probability.
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Recursive Backtracking with Permutations

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