in a school of 464 students 89 students are in the band, 215 students are on a sports team, and 31 students do both activities. How many students are not involed in eaither sport?

To find the number of students who are not involved in either activity, you need to subtract the number of students in the band and on a sports team from the total number of students, then add the number of students who do both activities:

Total number of students = 464
Number of students in both band and sports = 31
Number of students in band only = 89 - 31 = 58
Number of students on sports team only = 215 - 31 = 184

Therefore, the number of students who are not involved in either activity is:

464 - (31 + 58 + 184) = 191 students.

So there are 191 students who are not involved in either sport.