Question

В корзине 40 грибов : рыжики и грузди. известно ,что среди любых 27 грибов имеется хотя бы один рыжик , а среди любых 25 грибов имеется хотя бы один груздь. сколько рыжиков в корзине

Answer 1

На мой взгляд, эта задача имеет не одно решение.
Рассмотрим крайние варианты, заданные условиями:
-Условие "среди любых 27 грибов имеется хотя бы один рыжик" дает
26-грузди 14-рыжики
-Условие "среди любых 25 грибов имеется хотя бы один груздь." дает
16-грузди 24-рыжики
между ними могут быть
25-грузди 15-рыжики
24-грузди 16-рыжики
23-грузди 17-рыжики
22-грузди 18-рыжики
21-грузди 19-рыжики
20-грузди 20-рыжики
19-грузди 21-рыжики
18-грузди 22-рыжики
17-грузди 23-рыжики и все они подходят, т.е. ответ- рыжиков не меньше 14, но не больше 24

Answer 2

Calculating the Number of Chanterelles in the Basket

To calculate the number of chanterelles in the basket, we can use the information provided in the question and the given constraints.

Given: - There are 40 mushrooms in the basket, consisting of chanterelles and boletes. - Among any 27 mushrooms, there is at least one chanterelle. - Among any 25 mushrooms, there is at least one bolete.

Let's calculate the number of chanterelles in the basket.

Solution

To solve this problem, we can use the principle of inclusion-exclusion.

Let's denote: - C: Number of chanterelles in the basket - B: Number of boletes in the basket

We know that there are 40 mushrooms in total, so: - C + B = 40

We also know that among any 27 mushrooms, there is at least one chanterelle, and among any 25 mushrooms, there is at least one bolete. This gives us the following constraints: - C + (40 - C) ≥ 27 - B + (40 - B) ≥ 25

Solving these inequalities will give us the number of chanterelles in the basket.

Calculation

Let's solve the inequalities to find the number of chanterelles in the basket.

C + (40 - C) ≥ 27 => 40 ≥ 27 This inequality is always true, so it doesn't provide additional information.

B + (40 - B) ≥ 25 => 40 ≥ 25 This inequality is also always true.

Since both inequalities are always true, we can't determine the exact number of chanterelles in the basket based on the given information.

Therefore, based on the given constraints, we cannot determine the exact number of chanterelles in the basket.

Conclusion: Based on the given information, we cannot determine the exact number of chanterelles in the basket.

(#1)(#2)(#3)(#4)(#5)