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Chapter 13: Q. 48 (page 855)

Birthday Problem In how many ways can 5 people each have different birthdays? Assume that there are 365 days in a year.

Short Answer

Expert verified

The required number of ways is 6302555018760.

Step by step solution

01

Step 1. Given information.

Number of days in a year is 365.

Number of people is 5 and they have different birthdays.

02

Step 2. Determine the number of ways.

This is an example of a permutation without repetition in which 5 days are chosen from 365 distinct days.

P(365,5)=365!(365-5)!=365!360!=365路364路363路362路361路360!360!=6302555018760

03

Step 3. Conclusion.

The required number of ways is 6302555018760.

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