Question

Сколько есть способов выбрать непустое множество букв из слова ПОМПА и записать их потом в алфавитном порядке?

Answer 1

Відповідь:

23

Покрокове пояснення:

Answer 2

Number of Ways to Choose Non-Empty Set of Letters from the Word "ПОМПА" and Arrange Them in Alphabetical Order

To determine the number of ways to choose a non-empty set of letters from the word "ПОМПА" and arrange them in alphabetical order, we can follow these steps:

1. Identify the letters in the word "ПОМПА": П, О, М, П, А. 2. Determine the possible combinations of letters that can be chosen from the word. In this case, we can choose any subset of the letters, as long as it is non-empty. This means we can choose individual letters, pairs of letters, triplets, or the entire word itself. 3. Arrange the chosen letters in alphabetical order.

Let's break down the possibilities:

1. Choosing individual letters: - We can choose the letter "П" (1 possibility). - We can choose the letter "О" (1 possibility). - We can choose the letter "М" (1 possibility). - We can choose the letter "А" (1 possibility).

2. Choosing pairs of letters: - We can choose the pair "ПО" (1 possibility). - We can choose the pair "ПМ" (1 possibility). - We can choose the pair "ПА" (1 possibility). - We can choose the pair "ОМ" (1 possibility). - We can choose the pair "ОА" (1 possibility). - We can choose the pair "МА" (1 possibility).

3. Choosing triplets of letters: - We can choose the triplet "ПОМ" (1 possibility). - We can choose the triplet "ПОА" (1 possibility). - We can choose the triplet "ПМА" (1 possibility). - We can choose the triplet "ОМА" (1 possibility).

4. Choosing the entire word: - We can choose the entire word "ПОМПА" (1 possibility).

Therefore, the total number of ways to choose a non-empty set of letters from the word "ПОМПА" and arrange them in alphabetical order is 15.

Please note that the number of possibilities may vary depending on the specific requirements or constraints of the problem. However, based on the given question, this is the calculation for the number of ways to choose a non-empty set of letters from the word "ПОМПА" and arrange them in alphabetical order.