In a class of 30 students, each student will shake hands with every other student once. To calculate the total number of handshakes, you can use a simple formula.
1. Let's consider the first student. This student will shake hands with the remaining 29 students in the class.
2. The second student, having already shaken hands with the first student, will then proceed to shake hands with the remaining 28 students.
3. This pattern continues for each student, with each subsequent student having fewer new handshakes to make because they have already shaken hands with the students who came before them.
4. So, the total number of handshakes can be calculated using the formula: n(n-1)/2, where 'n' represents the total number of students.
5. Substituting n = 30 into the formula, we get 30(30-1)/2 = 30 * 29 / 2 = 435 handshakes.
Therefore, in a class of 30 students, a total of 435 handshakes will take place as each student shakes hands with every other student exactly once.
