Question

Комбинаторика .На приеме 25 человек ,все здороваются с помощью рукопожатий .сколько всего будет рукопожатий _

Answer 1

Есть стандартная формула для подсчета количества рукопожатий:
n(n-1)/2 в вашем случае:
25*24/2 = 25*12 = 300
Ответ: 300

Answer 2

( 24+23+22+21+...+2) Вот так

Answer 3

Combinatorics: Calculating Handshakes

When 25 people are present and each person shakes hands with every other person once, the total number of handshakes can be calculated using a combinatorial approach.

Calculating the Number of Handshakes: To calculate the total number of handshakes, we can use the formula for combinations, which is given by: \[ \text{Number of combinations} = \frac{n(n-1)}{2} \] Where \( n \) represents the number of people.

Using this formula, we can calculate the number of handshakes for 25 people.

Applying the Formula: \[ \text{Number of handshakes} = \frac{25(25-1)}{2} \] \[ \text{Number of handshakes} = \frac{25 \times 24}{2} \] \[ \text{Number of handshakes} = 300 \]

Therefore, when 25 people are present and each person shakes hands with every other person once, the total number of handshakes will be 300.