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Chapter 13: Q. 47 (page 855)

Birthday Problem In how many ways can 2 people each have different birthdays? Assume that there are 365 days in a year.

Short Answer

Expert verified

The required number of ways is 132860.

Step by step solution

01

Step 1. Given information.

Number of days in a year is 365.

Number of people is 2 and they have different birthdays.

02

Step 2. Determine the number of ways.

This is an example of a permutation without repetition.

  • The number of choices for the first person's birthday is 365.
  • The number of choices for the second person's birthday is 364 because both people have different birthdays.

By the Multiplication Principle, we get

365×364=132860

03

Step 3. Conclusion.

The required number of ways is 132860.

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