Question

У дрессировщика 3 льва,4 тигра и 2 рыси.Для выступления он должен выбрать по одному животному каждого вида.Сколькими способами он может это сделать?Объясните пожалуйста

Answer 1

3*4*2=24(с)

Ответ 24 способами дресировщик может это сделать

Answer 2

3*4*2=24(ж)-Способы.

Ответ: 24 способа.

Answer 3

Calculating the Combinations

To calculate the number of ways the animal trainer can choose one animal of each type for the performance, we can use the concept of combinations.

The formula for combinations is given by:

C(n, r) = n! / (r! * (n-r)!)

Where: - n is the total number of items - r is the number of items to choose

In this scenario: - n = 3 (for lions), 4 (for tigers), and 2 (for lynxes) - r = 1 for each type of animal

Applying the Formula

Let's calculate the combinations for each type of animal:

1. Lions: C(3, 1) = 3! / (1! * (3-1)!) = 3 2. Tigers: C(4, 1) = 4! / (1! * (4-1)!) = 4 3. Lynxes: C(2, 1) = 2! / (1! * (2-1)!) = 2

Total Number of Ways

To find the total number of ways the trainer can choose one animal of each type, we multiply the combinations for each type together:

Total ways = 3 * 4 * 2 = 24

So, the trainer can choose the animals for the performance in 24 different ways.