Question

Из цифр 2,4, б составляют всевозможные трёхзначные числа найди разность самого большого и самого маленькогм из них в любом числе каждая цифра используется только один раз

Answer 1

246, 264, 426, 462, 624, 642.

Answer 2

Finding all possible three-digit numbers using the digits 2, 4, and 5

To find all possible three-digit numbers using the digits 2, 4, and 5, we can use the concept of permutations. Since each digit can only be used once in any number, we need to consider all possible arrangements of these three digits.

The formula for finding the number of permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

In this case, we have three digits (n = 3) and we want to arrange them in a three-digit number (r = 3). Therefore, the number of possible arrangements is:

P(3, 3) = 3! / (3 - 3)! = 3! / 0! = 3! = 3 x 2 x 1 = 6

So, there are six possible three-digit numbers that can be formed using the digits 2, 4, and 5.

Finding the difference between the largest and smallest numbers

To find the difference between the largest and smallest numbers, we need to determine the largest and smallest three-digit numbers that can be formed using the digits 2, 4, and 5.

The largest three-digit number that can be formed is 542, and the smallest three-digit number that can be formed is 245.

Therefore, the difference between the largest and smallest numbers is:

542 - 245 = 297

So, the difference between the largest and smallest three-digit numbers that can be formed using the digits 2, 4, and 5 is 297.

Please let me know if you need any further assistance!