Please type your question here A counselor office opens only

Please type your question here: A counselor office opens only ten days in a year. People in a group of five must make a single visit to the office within a year. What is the probability that no two people in a group of five go to the office at the same day?

Solution

There are 10^5 ways for them to visit the office.

Also, there are 10P5 ways so that none of them visit the office in the same day.

Thus,

P(no two visit the office on the same day) = 10P5 / 10^5 = 0.3024 [ANSWER]