Question

Ваня,Даня и Таня пошли в двухдневный поход.Каждый день будет дежурить один турист, и никто не будет за время похода дежурить более одного раза.Сколько различных графиков можно составить?P.S. задача на части 5 класс

Answer 1

Ваня- В ; Даня- Д; Таня- Т;
ВД; ВТ; ДТ

легкотня полнейшая 

Answer 2

Calculating the Number of Different Schedules for the Hiking Trip

In order to calculate the number of different schedules for the hiking trip, we can use the concept of permutations. Since each tourist can only take a turn once per day, we need to calculate the number of ways to arrange the tourists over the two days.

Let's break it down step by step:

1. Day 1: - There are 3 tourists: Vanya, Danya, and Tanya. - One of them will be on duty for the day.

2. Day 2: - The remaining 2 tourists will take turns for the second day.

Calculation

To calculate the number of different schedules, we can use the formula for permutations:

Total number of schedules = 3! * 2!

Where: - 3! represents the number of ways to arrange the tourists on the first day. - 2! represents the number of ways to arrange the remaining tourists on the second day.

Applying the Formula

Using the formula, we can calculate the total number of different schedules:

Total number of schedules = 3! * 2! = 6 * 2 = 12

So, there are 12 different schedules that can be created for the two-day hiking trip, ensuring that each tourist takes a turn once per day.

This calculation ensures that no tourist will be on duty more than once during the hiking trip.