Question

У Атоса, Портоса и Арамиса есть шпага, кинжал и пистолет.а)Сколькими способами можно вооружить машкетеров?б)Сколько существует вареантов вооружения, если шпагой должен владеть Арамис?в)Сколько существует вариантов вооружения, если шпагой должен владеть Арамис, а пистолетом Партос? Решите плиз очень надо...

Answer 1

Смотри вложения:

а) шесть способов вооружить:          

б) два способа

в) один способ

 

Answer 2

Question Analysis

The user is asking three questions related to the possible combinations of weapons for the musketeers Athos, Porthos, and Aramis. The weapons available are a sword, a dagger, and a pistol. The user wants to know: a) How many ways can the musketeers be armed? b) How many options are there if Aramis must have the sword? c) How many options are there if Aramis must have the sword and Porthos must have the pistol?

To answer these questions, we need to consider the different combinations of weapons for each musketeer.

Answer

a) The musketeers can be armed in different ways by distributing the weapons among them. Since there are three musketeers and three types of weapons, we can calculate the number of ways using the concept of permutations. The formula for permutations is nPr = n! / (n-r)!, where n is the total number of items and r is the number of items to be selected.

In this case, there are 3 musketeers and 3 types of weapons, so the number of ways to arm them is 3P3 = 3! / (3-3)! = 3! / 0! = 3! = 3 x 2 x 1 = 6 ways.

b) If Aramis must have the sword, we can fix the sword for Aramis and distribute the remaining weapons among the other two musketeers. Since there are two remaining weapons (dagger and pistol) and two musketeers (Athos and Porthos), we can calculate the number of ways using the same permutation formula.

The number of ways to arm the musketeers in this case is 2P2 = 2! / (2-2)! = 2! / 0! = 2! = 2 x 1 = 2 ways.

c) If Aramis must have the sword and Porthos must have the pistol, we can fix the sword for Aramis and the pistol for Porthos, and distribute the remaining weapon (dagger) to Athos. Since there is only one remaining weapon (dagger) and one musketeer (Athos), there is only one way to arm the musketeers in this case.

Therefore, the number of ways to arm the musketeers if Aramis must have the sword and Porthos must have the pistol is 1 way.

So, to summarize: a) There are 6 ways to arm the musketeers. b) There are 2 ways to arm the musketeers if Aramis must have the sword. c) There is 1 way to arm the musketeers if Aramis must have the sword and Porthos must have the pistol.

Please let me know if you need any further assistance!