Question

Сколько трехзначных чисел, делящихся на 5 без остатка, можно составить из цифр 0, 1, 2, 3, 4, 5? Цифры в числе повторяться не должны. Ответ укажите целым числом без каких-либо знаков препинания. Ответ: ________

Answer 1

120,130,140,150,
210,230,240,250
310,320,340,350,
410,420,430,450
510,520,530,540

мне кажется 20 чисел подходит

Answer 2

ну я тут подумал и решил, что где-то 40 способов

Answer 3

Number of Three-Digit Numbers Divisible by 5

To find the number of three-digit numbers that are divisible by 5 without repetition of digits, we can consider the following:

1. The hundreds digit cannot be 0 since it would result in a two-digit number. 2. The units digit must be either 0 or 5 since the number needs to be divisible by 5. 3. The tens digit can be any of the remaining digits: 1, 2, 3, or 4.

Based on these conditions, we can calculate the number of possible three-digit numbers:

- The hundreds digit has 5 options (1, 2, 3, 4, or 5). - The tens digit has 4 options (the remaining digits after choosing the hundreds digit). - The units digit has 2 options (0 or 5).

Using the multiplication principle, we can multiply these options together to find the total number of three-digit numbers:

Total number of three-digit numbers divisible by 5 = 5 (options for hundreds digit) × 4 (options for tens digit) × 2 (options for units digit) = 40

Therefore, there are 40 three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, and 5, without repetition, that are divisible by 5.