Question

У каждого марсианина 3 руки. Может ли 7 марсиан взяться за руки так, чтобы КАЖДАЯ рука КАЖДОГО марсианина пожимала одну из рук любого другого марсианина?

Answer 1

Решение:

7*3=21 - нечетное число.

 

Ответ: нет. Для рукопожатия нужна пара рук. А значит, должно быть, четное количество рук. 

Answer 2

vsego u marsian 3*7=21 ruka.

Tak kak pri pozhatii sostavliaetsia uslovno para iz 2 ruk,to kolichestvo ruk dlia vipolnenia uslovia dolzhno bit' kak minimum chetnim,no ono nechetnoe,znachit :

Otvet:net.

Answer 3

Can 7 Martians hold hands in such a way that EACH hand of EACH Martian shakes one hand of ANY other Martian?

No, it is not possible for 7 Martians to hold hands in a way that each hand of each Martian shakes one hand of any other Martian. This is because there are only 6 other Martians available for each Martian to shake hands with, and each Martian has 3 hands. Therefore, at least one Martian will be left without shaking hands with another Martian.

To illustrate this, let's consider the scenario where each Martian shakes hands with every other Martian. If we assume that each Martian shakes hands with all the other Martians, we can calculate the total number of handshakes:

- The first Martian has 6 other Martians to shake hands with. - The second Martian has already shaken hands with the first Martian, so it has 5 other Martians to shake hands with. - The third Martian has already shaken hands with the first and second Martians, so it has 4 other Martians to shake hands with. - The fourth Martian has already shaken hands with the first, second, and third Martians, so it has 3 other Martians to shake hands with. - The fifth Martian has already shaken hands with the first, second, third, and fourth Martians, so it has 2 other Martians to shake hands with. - The sixth Martian has already shaken hands with the first, second, third, fourth, and fifth Martians, so it has 1 other Martian to shake hands with.

In total, we have 6 + 5 + 4 + 3 + 2 + 1 = 21 handshakes. However, since each Martian has 3 hands, we would need a total of 7 * 3 = 21 handshakes to ensure that each hand of each Martian shakes one hand of any other Martian. Therefore, it is not possible for 7 Martians to hold hands in the described way.

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