Question

Сколькими способами можно составить патруль из двух милиционеров если на дежурство вышло трое Быстров Свистунов и умнов

Answer 1

Быстров и умнов, умнов и свистунов, свистунов и быстров

Answer 2

Calculating the Number of Ways to Form a Patrol

To calculate the number of ways to form a patrol from two policemen out of three (Bystrov, Svistunov, and Umnov), we can use the combination formula. The combination formula is given by:

nCr = n! / (r! * (n-r)!)

Where: - n is the total number of items - r is the number of items to choose - ! denotes factorial, which is the product of all positive integers up to that number

Applying the Combination Formula

Using the combination formula, we can calculate the number of ways to form a patrol from the three policemen:

nCr = 3! / (2! * (3-2)!)

nCr = 3! / (2! * 1!)

nCr = (3 * 2 * 1) / (2 * 1) = 3

So, there are 3 ways to form a patrol from the three policemen (Bystrov, Svistunov, and Umnov). This means there are 3 different combinations of patrols that can be formed from the three policemen.

Conclusion

Based on the combination formula, there are 3 ways to form a patrol from the three policemen.