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what is the chance of correctly placing 5 individuals in the correct order of their birthday if they are sitting at a round table?

1 Answer

4 votes

1/24

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To calculate the probability of correctly placing 5 individuals in the correct order of their birthdays when they are sitting at a round table, we need to consider that each individual can be arranged in 5! (5 factorial) ways.

However, since the table is round, the starting point does not matter. So, we divide the total number of arrangements by 5 to get the number of unique arrangements.

The probability of choosing all five individuals correctly and in the correct order is then 1 over the total number of unique arrangements.

Using the formula:

  • P(correct arrangement) = 1 / (5!/5) = 1/24

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