Question

Сколько существует целых чисел от 1 до 1005, которые не делятся ни на 2, ни на 3, ни на 4, ни на 5, ни на 6? ​

Answer 1

Ответ:

ответ: 2 3 4 5 6 это числа, следовательно делимые на них числа четные и нечётные являются неделимыми.

ответ: 502 целых числа

Answer 2

Calculating the Count of Integers

To calculate the count of integers from 1 to 1005 that are not divisible by 2, 3, 4, 5, or 6, we can use the principle of inclusion-exclusion.

The count of integers not divisible by 2, 3, 4, 5, or 6 can be calculated using the formula:

Count = Total Count - Divisible by 2 - Divisible by 3 - Divisible by 4 - Divisible by 5 - Divisible by 6 + Divisible by (2*3) + Divisible by (2*4) + Divisible by (2*5) + Divisible by (2*6) + Divisible by (3*4) + Divisible by (3*5) + Divisible by (3*6) + Divisible by (4*5) + Divisible by (4*6) + Divisible by (5*6) - Divisible by (2*3*4) - Divisible by (2*3*5) - Divisible by (2*3*6) - Divisible by (2*4*5) - Divisible by (2*4*6) - Divisible by (2*5*6) - Divisible by (3*4*5) - Divisible by (3*4*6) - Divisible by (3*5*6) - Divisible by (4*5*6) + Divisible by (2*3*4*5) + Divisible by (2*3*4*6) + Divisible by (2*3*5*6) + Divisible by (2*4*5*6) + Divisible by (3*4*5*6) - Divisible by (2*3*4*5*6)

Let's calculate the count using this formula.