Предмет: Математика, автор: maruskoemilia4

Нехай Данило має набір з k карток, занумерованих числами від 1 до k. Знайдіть усі значення k, при яких він може вибрати рівно 10 пар, для яких сума чисел у кожній парі дорівнює 100.

Ответы

Автор ответа: p15

Ответ:

А давайте вручную.

пусть у него 50 карточек и числа от 1 до 50. Берет он самые большие карточки 50 и 49 и 100 в сумме не получается...

Но дальше интереснее :)

добавим карточку с номером 51 и к ней уже есть пара 49 (но пока пара только одна в сумме дающая 100.)

добавим 52... +48 - (2 пары!)

...

59 - 9 пар

60 - Мы победили эту задачу, имея знания до 2 класса включительно! :)

Пошаговое объяснение:

iramazurk: 1. Используя все числа 1, 3, 4, 6 по одному разу с помощью операций сложения, вычитания, умножения, деления и возведения...
https://znanija.com/task/52908935?utm_source=android&utm_medium=share&utm_campaign=question

iramazurk: Составь из цифр 2;4;5;6;8;0 все возможные четырёх значные числа.Чтобы цифры не повторялись!
https://znanija.com/task/52894305?utm_source=android&utm_medium=share&utm_campaign=question

p15: https://znanija.com/task/52894305 - :))))))

p15: https://znanija.com/task/52908935 - c этим проще

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