Select the correct answerHow many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options24120720360

The correct answer is 360.

Here's the step-by-step solution:

1. A 4-digit number has four places: thousands, hundreds, tens, and ones.

2. For the first place (thousands), you can choose from 6 different digits (1, 2, 5, 6, 7, 8). So there are 6 options.

3. For the second place (hundreds), since you've already used one digit, you can only choose from the remaining 5 digits. So there are 5 options.

4. For the third place (tens), since you've already used two digits, you can only choose from the remaining 4 digits. So there are 4 options.

5. For the fourth place (ones), since you've already used three digits, you can only choose from the remaining 3 digits. So there are 3 options.

6. To find the total number of 4-digit numbers, you multiply the number of options for each place together: 6 * 5 * 4 * 3 = 360.