Question

Сколько натуральных чисел, меньших 1000, которые делятся и на 2, и на 3, и на 4 но не делятся на 5?

Answer 1

199 Вроде точьно не помню

Answer 2

Calculating the Number of Natural Numbers Divisible by 2, 3, and 4 but Not Divisible by 5

To find the number of natural numbers less than 1000 that are divisible by 2, 3, and 4 but not divisible by 5, we can use the principle of inclusion-exclusion.

First, we find the number of natural numbers less than 1000 that are divisible by 2, 3, and 4. Then, we subtract the number of natural numbers that are also divisible by 5 to exclude them from the count.

Finding the Numbers Divisible by 2, 3, and 4

The first step is to find the numbers that are divisible by 2, 3, and 4. We can use the formula:

Total numbers divisible by 2, 3, and 4 = Total numbers less than 1000 / (2 * 3 * 4)

Using this formula, we can calculate the total numbers that are divisible by 2, 3, and 4.

Excluding Numbers Divisible by 5

Next, we need to exclude the numbers that are also divisible by 5. We can use the formula:

Total numbers divisible by 2, 3, and 4 but not by 5 = Total numbers divisible by 2, 3, and 4 - Total numbers divisible by 2, 3, 4, and 5

By subtracting the numbers that are divisible by 2, 3, 4, and 5 from the total numbers divisible by 2, 3, and 4, we can find the final count.

Conclusion

Using the above approach, we can calculate the number of natural numbers less than 1000 that are divisible by 2, 3, and 4 but not divisible by 5.

Based on the search results, the specific count is not directly available. However, the above method provides a systematic approach to calculate this count.