Question

В ряд в порядке возрастания лежат пять карточек с цифрами 1,2,3,4,5. Смартик поменял местами две карточки, затем между соседними карточками правильно вписал знак > или <, а карточки убрал. Какая из цепочек знаков А-Г не могла у него получиться? А) << >> Б) >> << В) < > < > Г) > < < >

Answer 1

Ответ: А <<><

Пошаговое объяснение:

Answer 2

Problem Analysis

We have five cards with the numbers 1, 2, 3, 4, and 5 arranged in ascending order. Smartic swapped two cards, then correctly placed the symbols ">" or "<" between neighboring cards, and finally removed the cards. We need to determine which of the given sequences of symbols A-G could not have been obtained by Smartic.

Solution

To solve this problem, let's analyze the possible scenarios for swapping the cards and placing the symbols.

1. If Smartic swapped the cards 1 and 2, the resulting sequence of symbols would be "<>". This is not one of the given sequences, so we can eliminate option A.

2. If Smartic swapped the cards 2 and 3, the resulting sequence of symbols would be "><". This is not one of the given sequences, so we can eliminate option B.

3. If Smartic swapped the cards 3 and 4, the resulting sequence of symbols would be "<>". This is not one of the given sequences, so we can eliminate option C.

4. If Smartic swapped the cards 4 and 5, the resulting sequence of symbols would be "><". This is not one of the given sequences, so we can eliminate option D.

5. If Smartic swapped the cards 1 and 3, the resulting sequence of symbols would be ">>". This is one of the given sequences, so option E is a valid possibility.

6. If Smartic swapped the cards 2 and 4, the resulting sequence of symbols would be "<<". This is one of the given sequences, so option F is a valid possibility.

7. If Smartic swapped the cards 3 and 5, the resulting sequence of symbols would be ">>". This is one of the given sequences, so option G is a valid possibility.

Based on the analysis above, the sequence of symbols that could not have been obtained by Smartic is option C) < >.

Conclusion

The sequence of symbols that Smartic could not have obtained is option C) < >.