Question

Сколько различных трёхзначных натуральных чисел можно составить из цифр 1, 2 и 3 (цифры в числе могут повторяться)?

Answer 1

Чтобы узнать это нужно всего лишь 3 возвести в куб)
и получится 27

Answer 2

Calculating the Number of Different Three-Digit Natural Numbers

To calculate the number of different three-digit natural numbers that can be formed using the digits 1, 2, and 3 (with repetition allowed), we can use the formula for permutations with repetition. The formula for permutations with repetition is given by:

Number of permutations with repetition = n^r

Where: - n is the number of options for each digit (in this case, 3 - 1, 2, and 3) - r is the number of digits (in this case, 3 for a three-digit number)

Using this formula, we can calculate the number of different three-digit natural numbers that can be formed.

Calculation

Using the formula for permutations with repetition, the number of different three-digit natural numbers that can be formed using the digits 1, 2, and 3 is:

3^3 = 27

Therefore, there are 27 different three-digit natural numbers that can be formed using the digits 1, 2, and 3, with repetition allowed.

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