Question

Игорь составляет таблицу кодовых слов для передачи сообщений, каждому сообщению соответствует своё кодовое слово. В качестве кодовых слов Игорь использует 5-буквенные слова, в которых есть только буквы П, И, Р, причём буква П появляется ровно 1 раз. Каждая из других допустимых букв может встречаться в кодовом слове любое количество раз или не встречаться совсем. Сколько различных кодовых слов может использовать Игорь?

Answer 1

Ответ:

На python

Объяснение:

from itertools import *

x="пир"

k=0

for i in product(x, repeat=5):

   s="".join(i)

   if s.count("п")==1:

       k+=1

print(k)

Ответ:80

Answer 2

Number of Different Code Words Igor Can Use

To determine the number of different code words Igor can use, we need to consider the following conditions: - The code words are 5-letter words. - The letter "П" appears exactly once in each code word. - The other letters (И and Р) can appear any number of times or not at all.

To calculate the number of different code words, we can break down the problem into the following steps:

Step 1: Determine the position of the letter "П" in the code word. Since the letter "П" appears exactly once, it can be placed in any of the 5 positions in the code word. Therefore, there are 5 possible positions for the letter "П".

Step 2: Determine the number of possibilities for the remaining letters (И and Р). The remaining 4 positions in the code word can be filled with either the letter "И", the letter "Р", or left empty. This means that each position has 3 possibilities: "И", "Р", or empty.

Step 3: Calculate the total number of different code words. To calculate the total number of different code words, we need to multiply the number of possibilities for each step. In this case, we multiply the number of positions for the letter "П" (5) by the number of possibilities for the remaining letters (3) raised to the power of the number of remaining positions (4).

Therefore, the total number of different code words Igor can use is 5 * 3^4 = 5 * 81 = 405.