Question

В классе 27 человек. Сколькими способами из них можно выбрать старосту, помощника старосты и заместителя старосты?

Answer 1

Старосту можно выбрать 27 способами, помощника старосты 26 способами, заместителя 25 способами. Нужно 27 * 26 * 25 = 17550

Answer 2

Calculation of the Number of Ways to Choose Class Representatives

To determine the number of ways to choose a class representative, assistant class representative, and deputy class representative from a class of 27 students, we can use the concept of combinations.

The positions of class representative, assistant class representative, and deputy class representative are distinct roles, meaning that one person cannot hold multiple positions simultaneously. Therefore, we need to calculate the number of ways to choose one person for each role.

To calculate the number of ways to choose a class representative, we have 27 options. After selecting one person for this role, we have 26 remaining students to choose from for the position of assistant class representative. Finally, for the position of deputy class representative, we have 25 remaining students to choose from.

To calculate the total number of ways to choose all three positions, we multiply the number of options for each role together:

Number of ways to choose class representative = 27 Number of ways to choose assistant class representative = 26 Number of ways to choose deputy class representative = 25

Total number of ways to choose all three positions = 27 * 26 * 25 = 17,550

Therefore, there are 17,550 different ways to choose a class representative, assistant class representative, and deputy class representative from a class of 27 students.