Question

Расположим по алфавиту десять слов, обозначающих цифры в десятичной системе счисления. Возьмем первые три из них и из соответствующих цифр составим минимально возможное трехзначное число, в котором цифры не повторяются. Это ... а)102; б)289; в)123; г)208 Заранее, огромное спасибо за ответ!!!!!

Answer 1

Правильный ответ: Б) 289

Answer 2

Words representing numbers in the decimal system

In the decimal system, there are ten words that represent the digits from 0 to 9. Let's arrange them alphabetically and form the minimum possible three-digit number without repeating any digits.

The ten words representing the digits in the decimal system are:

- Zero - One - Two - Three - Four - Five - Six - Seven - Eight - Nine

Forming the minimum possible three-digit number

To form the minimum possible three-digit number without repeating any digits, we need to select the first three words from the list and arrange them in ascending order.

Let's apply this to the given options:

a) 102: This number does not satisfy the condition of not repeating any digits, as the digit "1" appears twice. Therefore, it is not the minimum possible three-digit number without repeating any digits.

b) 289: This number does not satisfy the condition of not repeating any digits, as the digit "8" appears twice. Therefore, it is not the minimum possible three-digit number without repeating any digits.

c) 123: This number satisfies the condition of not repeating any digits, as each digit appears only once. Therefore, it is the minimum possible three-digit number without repeating any digits.

d) 208: This number satisfies the condition of not repeating any digits, as each digit appears only once. Therefore, it is the minimum possible three-digit number without repeating any digits.

Therefore, the correct answers are:

- а) 102: Not the minimum possible three-digit number without repeating any digits. - б) 289: Not the minimum possible three-digit number without repeating any digits. - в) 123: The minimum possible three-digit number without repeating any digits. - г) 208: The minimum possible three-digit number without repeating any digits.

I hope this answers your question! Let me know if you need further assistance.