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How many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options12024720360

Question

How many different 4 digit numbers can be formed using the digits 1, 2, 5, 6, 7 and 8?Options12024720360

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Solution

The question is asking for the number of different 4-digit numbers that can be formed using the digits 1, 2, 5, 6, 7, and 8.

Here are the steps to solve this problem:

  1. We have 6 different digits and we need to form a 4-digit number.

  2. The first digit can be any of the 6 digits. So, we have 6 options for the first digit.

  3. The second digit can be any of the remaining 5 digits (since we can't repeat a digit). So, we have 5 options for the second digit.

  4. Similarly, the third digit can be any of the remaining 4 digits, giving us 4 options.

  5. Finally, the fourth digit can be any of the remaining 3 digits, giving us 3 options.

  6. To find the total number of 4-digit numbers, we multiply the number of options for each digit together.

So, the total number of different 4-digit numbers is 6 * 5 * 4 * 3 = 360.

Therefore, the answer is 360.

This problem has been solved

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