Question

Из чисел от 1 до 10 выбрали 6 чисел. обязательно ли среди них найдутся 2 числа, отличающиеся друг от друга на 1?

Answer 1

Да так как если взять через один то получиться всего пять цифр(1.3.5.7.9) а нужно 6

Answer 2

Да, конечно !!!!!) :-)

Answer 3

Answer:

Yes, it is guaranteed that among any 6 numbers chosen from 1 to 10, there will always be at least 2 numbers that differ from each other by 1.

This can be demonstrated by considering the following sets of 6 numbers: 1. {1, 2, 3, 4, 5, 6} 2. {2, 3, 4, 5, 6, 7} 3. {3, 4, 5, 6, 7, 8} 4. {4, 5, 6, 7, 8, 9} 5. {5, 6, 7, 8, 9, 10}

In each of these sets, there are at least two numbers that differ from each other by 1.

Source: - Source provides the sequence of numbers from 1 to 10, confirming the range of numbers being discussed.